Question

Write an equation of the line that passes through a pair of points:

On a coordinate plane, a line goes through (4, 1) and (5, 2).
a.
y = x + 3
c.
y = -x + 2
b.
y = x - 3
d.
y = -x - 2

Answer 1

Hello there! Given the line goes through (4,1) and (5,2), we can identify the slope as x because:

According to y - y over x - x,

2 - 1 = 1
5 - 4 = 1

The slope is 1/1, or x because x always equals 1 if not given a proper value.

Since we have the slope now, we can use the y-intercept of the graph to get our answer:

Our answer is y = x - 3 because the initial value, or the point we begin with on the y-axis, is -3.

Your answer is B, or y = x - 3. Hope this helps!