Question

Which linear equation represent the graph

Answer 1

Answer:

Option C. $y=5x-1$

Step-by-step explanation:

step 1

Find the slope of the linear equation

take two points from the graph

(0,-1) and (1,4)

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

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

substitute the values

$m=\frac{4+11}{1-0}$

$m=\frac{51}{1}$

$m=5$

step 2

Find the linear equation in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=5$

$b=-1$ ----> the y-intercept is the point (0,-1)

substitute

$y=5x-1$