Question

Write the equation of a line parallel to the given line and passes through points (4, 6), and (-2, -6). Hints find the slope by using the slope formula and then write your equation in slope-intercept form show your work in order to get credit!

Answer 1

y = 2x - 2

Explanation:

Equation of a line:

In slope-intercept formula, it is:

y = mx + b

In which m is the slope and b is the y-intercept, which is the value of y when x = 0.

Passes through points (4, 6), and (-2, -6).

We find the equation using these two points.

First we find the slope, which is the change in y divided by the change in x.

Change in y: 6 - (-6) = 6 + 6 = 12.

Change in x: 4 - (-2) = 4 + 2 = 6

Slope: m = 12/6 = 2

So:

y = 2x + b

We select one of these points, two find b.

I will select the point (4,6), which means that when x = 4, y = 6. So

y = 2x + b

6 = 2*4 + b

8 + b = 6

b = 6 - 8

b = -2

So the equation of the line is:

y = 2x - 2