Question

Write an equation in slope-intercept form from the following points:
(-4,6) and (0,7)

Answer 1

y = 1/4 * x + 7

Explanation:

We start with the equation for slope-intercept y = mx + b -

Y is any y point on the line. X is any x point on the line. M is the slope of the line. B is the y-intercept of the line.

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -

(7 - 6) / (0 - (-4))

1 / (0 + 4)

Slope = 1/4

Now we insert the slope into the equation -

y = 1/4 * x + b

As said before, Y is any y point on the line and X is any x point on the line, so we can choose a random point and insert it in to find the y-intercept -

(The equation already tells you the y-intercept (0, 7) but for checking, we will insert the point in too)

7 = 1/4 * 0 + b

7 = b

b = 7

The y-intercept of the line is (0, 7)

We insert the y-intercept in the equation -

y = 1/4 * x + 7

y = 1/4 * x + b is our answer to the problem.