Answer:
y = 1/4 * x + 7
Step-by-step 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.
