Question

Graph the linear equation y = 2x - 3.
A.
(0, -1)
(1, -3)
B.
(1, 5)
(0, 3)
C.
(1,4)
(0,1)
D.
(1,-1)
(0,-3)
Answer
Write y - 6x = 5 in slope-intercept form

y = __
Answer
Graph the equation x - y = 6 using the form y = mx + b.
Answer
Graph the equation x - y = 6 using the form y = mx + b.
A.
(0, -4)
(1, -10)
B.
(0,3)
(3,2)
C.
(6, 6)
(0, 0)
D.
(1,-5)
(0,-6)
Answer
Describe what makes a proportion. Give an example of a proportion.
Answered by GPT 3.5
To graph the linear equation y = 2x - 3, we can plot two points on the coordinate plane and then connect them with a straight line.

Let's use the points from option A: (0, -1) and (1, -3).

Plot the first point (0, -1) by placing a dot at (0, -1) on the coordinate plane.

Next, plot the second point (1, -3) by placing a dot at (1, -3) on the coordinate plane.

Finally, draw a straight line passing through the two points. This line represents the graph of the equation y = 2x - 3.

Therefore, the correct option is A.
Answered by GPT 3.5
To write the equation y - 6x = 5 in slope-intercept form, we need to isolate y on one side of the equation.

First, add 6x to both sides of the equation:

y - 6x + 6x = 5 + 6x

This simplifies to:

y = 6x + 5

Therefore, the equation y = 6x + 5 is in slope-intercept form. The slope of the line is 6, and the y-intercept is 5.
Answered by GPT 3.5
To graph the equation x - y = 6 using the form y = mx + b, we need to isolate y on one side of the equation.

Subtract x from both sides of the equation:

-y = -x + 6

Next, multiply both sides of the equation by -1 to switch the signs:

y = x - 6

Now we have the equation in slope-intercept form, y = mx + b, where the slope is 1 and the y-intercept is -6.

To graph the equation, we can plot two points on the coordinate plane and then connect them with a straight line.

Let's choose the points (0, -6) and (6, 0).

Plot the first point (0, -6) by placing a dot at (0, -6) on the coordinate plane.

Next, plot the second point (6, 0) by placing a dot at (6, 0) on the coordinate plane.

Finally, draw a straight line passing through the two points. This line represents the graph of the equation x - y = 6 in the y = mx + b form.

Answered by GPT 3.5
To graph the equation x - y = 6 using the form y = mx + b, we need to isolate y on one side of the equation.

Subtract x from both sides of the equation:

-y = -x + 6

Next, multiply both sides of the equation by -1 to switch the signs:

y = x - 6

Now we have the equation in slope-intercept form, y = mx + b, where the slope is 1 and the y-intercept is -6.

Let's use the points from option C: (6, 6) and (0, 0).

Plot the first point (6, 6) by placing a dot at (6, 6) on the coordinate plane.

Next, plot the second point (0, 0) by placing a dot at (0, 0) on the coordinate plane.

Finally, draw a straight line passing through the two points. This line represents the graph of the equation x - y = 6 in the y = mx + b form.

Therefore, the correct option is C.
Answered by GPT 3.5
A proportion is an equation that states that two ratios are equal. In a proportion, the relationship between the corresponding terms of the ratios remains constant.

For example, consider the proportion:

2/3 = 4/6

In this proportion, the ratio of 2 to 3 is equal to the ratio of 4 to 6. Both ratios simplify to 2/3, which means the proportion is true.

In general, a proportion can be written as:

a/b = c/d

Here, a, b, c, and d are numbers, variables, or expressions. The proportion states that the ratio of a to b is equal to the ratio of c to d.