Question

Which equation represents a line that passes through the two points in the table

Answer 1

y-1=5/4(x-1)

All of the answers are in point-slope form btw.

Answer 2

Answer:

$y-1=\frac{5}{4}(x-1)$

Step-by-step explanation:

we know that

The equation of the line into point slope for, is equal to

$y-y1=m(x-x1)$

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

In this problem we have

$A(1,1), B(5,6)$

Substitute the values

$m=\frac{6-1}{5-1}$

$m=\frac{5}{4}$

with the point A and the slope m find the equation of the line

substitute the values

$y-1=\frac{5}{4}(x-1)$