Question

transform y-7=5(3x+5) into slope intercept form (y=mx+b)
Answer
graph the equation y=5/7x+2
Answer
solve -6/x=2/6
Answer
graph the equation y=-3/5x-4
Answer
graph the equtaion x=-5
Answered by GPT 3.5
To transform the equation y - 7 = 5(3x + 5) into slope-intercept form (y = mx + b), we can distribute the 5 on the right side of the equation and then isolate y:

y - 7 = 5(3x + 5)
y - 7 = 15x + 25

Now, let's add 7 to both sides of the equation to get y by itself:

y - 7 + 7 = 15x + 25 + 7
y = 15x + 32

Therefore, the equation y - 7 = 5(3x + 5) can be written as y = 15x + 32 in slope-intercept form.
Answered by GPT 3.5
To graph the equation y = (5/7)x + 2, we can start by plotting the y-intercept, which is (0, 2).

From the y-intercept, we can use the slope to find additional points on the line. The slope of the equation is 5/7, which means for every 7 units we move to the right on the x-axis, we move up 5 units on the y-axis.

Using this information, we can plot two more points on the line:

Point 1: To the right 7 units from the y-intercept: (0 + 7, 2 + 5) = (7, 7)
Point 2: To the left 7 units from the y-intercept: (0 - 7, 2 - 5) = (-7, -3)

Now, we can connect these three points to draw a straight line:

Here is the graph of the equation y = (5/7)x + 2:
Answered by GPT 3.5
To solve the equation -6/x = 2/6, we can cross multiply and then solve for x.

Cross multiplying gives us -6 * 6 = 2 * x.

Simplifying, we have -36 = 2x.

Next, we'll divide both sides of the equation by 2 to isolate x:

-36/2 = (2x) / 2

-18 = x

Therefore, the solution to the equation -6/x = 2/6 is x = -18.
Answered by GPT 3.5
To graph the equation y = (-3/5)x - 4, we can start by plotting the y-intercept, which is (0, -4).

From the y-intercept, we can use the slope to find additional points on the line. The slope of the equation is -3/5, which means for every 5 units we move to the right on the x-axis, we move down 3 units on the y-axis.

Using this information, we can plot two more points on the line:

Point 1: To the right 5 units from the y-intercept: (0 + 5, -4 - 3) = (5, -7)
Point 2: To the left 5 units from the y-intercept: (0 - 5, -4 + 3) = (-5, -1)

Now, we can connect these three points to draw a straight line:

Here is the graph of the equation y = (-3/5)x - 4:
Answered by GPT 3.5
To graph the equation x = -5, we draw a vertical line passing through the x-coordinate -5 on the x-axis.

The graph consists of all points with x-coordinate of -5. No matter the value of y, as long as x is -5, the point will be on the graph.

Here is the graph of the equation x = -5: