To solve the equation for x, we need to isolate x on one side of the equation.
Starting with the equation: 2x + b = c
We want to isolate x, so let's move b to the other side by subtracting it from both sides of the equation:
2x + b - b = c - b
Simplifying the equation:
2x = c - b
Finally, to solve for x, we need to get rid of the 2 coefficient on x by dividing both sides of the equation by 2:
(2x)/2 = (c - b)/2
Simplifying the equation further:
x = (c - b)/2
Therefore, the solution for x is:
x = (c - b)/2
solve the equation for x
2x+b=c
11 answers
15. Solve the equation for x: 2x+b=c Check this process: Step 1: 2x+b−b=c−b Step 2: 2x=c−b Step 3: 2x−2=c−b−2 Step 4: x=c2−b−2 Check all of the choices that are true statements. (1 point) Responses There is no error in the process. There is no error in the process. The process has an error from step 1 to step 2 The process has an error from step 1 to step 2 The process has an error from step 2 to step 3 The process has an error from step 2 to step 3 The process has an error from step 3 to step 4
The process has an error from step 3 to step 4.
how to find the slope of a graph?
To find the slope of a graph, you can follow these steps:
1. Select two points on the graph.
2. Identify the coordinates of the two points (x1, y1) and (x2, y2).
3. Determine the change in y (vertical change) by subtracting y1 from y2: Δy = y2 - y1.
4. Determine the change in x (horizontal change) by subtracting x1 from x2: Δx = x2 - x1.
5. Calculate the slope (m) using the formula: m = Δy / Δx.
The slope represents the rate of change between the two points on the graph. It can be positive (slope goes up), negative (slope goes down), or zero (horizontal line). The value of the slope also indicates the steepness of the line; larger slope values indicate steeper lines.
1. Select two points on the graph.
2. Identify the coordinates of the two points (x1, y1) and (x2, y2).
3. Determine the change in y (vertical change) by subtracting y1 from y2: Δy = y2 - y1.
4. Determine the change in x (horizontal change) by subtracting x1 from x2: Δx = x2 - x1.
5. Calculate the slope (m) using the formula: m = Δy / Δx.
The slope represents the rate of change between the two points on the graph. It can be positive (slope goes up), negative (slope goes down), or zero (horizontal line). The value of the slope also indicates the steepness of the line; larger slope values indicate steeper lines.
which equation could represent this graph?
point at 5
point at 3 and 3- below it
point at 1 and 6 below it
y=-2/3x+5
y=5x+8
y=5x-2
-3x+2y=5
2x+3y=15
point at 5
point at 3 and 3- below it
point at 1 and 6 below it
y=-2/3x+5
y=5x+8
y=5x-2
-3x+2y=5
2x+3y=15
Based on the given points, the equation that could represent this graph is:
y = 5x - 2.
y = 5x - 2.
are you sure?
Apologies for the confusion. I made an error in my response. Let's reconsider the given points and find the correct equation.
The three given points are:
(5, 3)
(3, 1)
(1, -2)
To find the equation, we can use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is one of the points on the line, and m is the slope.
Let's choose the point (5, 3):
y - 3 = m(x - 5)
To find the slope (m), we can use the formula: m = (y2 - y1) / (x2 - x1) using the points (5, 3) and (3, 1):
m = (1 - 3) / (3 - 5)
m = -2 / -2
m = 1
Now, let's substitute the slope and the coordinates (5, 3) into the equation:
y - 3 = 1(x - 5)
y - 3 = x - 5
y = x - 5 + 3
y = x - 2
Therefore, the equation that represents the graph is y = x - 2.
The three given points are:
(5, 3)
(3, 1)
(1, -2)
To find the equation, we can use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is one of the points on the line, and m is the slope.
Let's choose the point (5, 3):
y - 3 = m(x - 5)
To find the slope (m), we can use the formula: m = (y2 - y1) / (x2 - x1) using the points (5, 3) and (3, 1):
m = (1 - 3) / (3 - 5)
m = -2 / -2
m = 1
Now, let's substitute the slope and the coordinates (5, 3) into the equation:
y - 3 = 1(x - 5)
y - 3 = x - 5
y = x - 5 + 3
y = x - 2
Therefore, the equation that represents the graph is y = x - 2.
what is a linear relationship?
A linear relationship refers to a relationship between two variables that can be represented by a straight line on a graph. In a linear relationship, as one variable increases or decreases by a constant rate, the other variable also changes proportionally.
The general form of a linear relationship is represented by the equation y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope (representing the rate of change), and b is the y-intercept (the value of y when x = 0).
In a linear relationship, the slope determines the steepness of the line, and the y-intercept represents the point where the line intersects the y-axis. The slope indicates how much the dependent variable changes for every unit change in the independent variable.
Examples of linear relationships include distance versus time, temperature versus time, and cost versus quantity. In all these cases, the relationship between the two variables is described by a straight line on the graph.
The general form of a linear relationship is represented by the equation y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope (representing the rate of change), and b is the y-intercept (the value of y when x = 0).
In a linear relationship, the slope determines the steepness of the line, and the y-intercept represents the point where the line intersects the y-axis. The slope indicates how much the dependent variable changes for every unit change in the independent variable.
Examples of linear relationships include distance versus time, temperature versus time, and cost versus quantity. In all these cases, the relationship between the two variables is described by a straight line on the graph.
2 answers