Answer:
y = x + 4
Explanation:
Label the points that are given.
(-4, 0) = (x1, y1)
(1, 5) = (x2, y2)
Step 1: Find the slope, denoted m
This is done by using the formula m = (y2 - y1)/(x2 - x1)
The slope for this problem is
m = (5 - 0)/(1 - -4)
m = 5/5 = 1
Step 2: The general form for a linear equation in slope-intercept form is
y = mx + b where m is the slope and b is the y-intercept
Use what we know about our line to solve the rest. By using one of the given points, we have 3 of the 4 variables in the above equation. Pick either point, it doesn't matter which one. We'll use (-4, 0), which is (x, y), and we know that m = 1
The equation becomes...
0 = -4(1) + b (now solve for b)
0 = -4 + b
4 = b (add to both sides)
Plug that value into the general form...
y = x + 4