Question

What is the slope-intercept equation of the line below?

Answer 1

The slope intercept equation of the line above is y=-2x+3

Answer 2

Answer:  The correct option is

(A) $y=-\dfrac{5}{4}x+3.$

Step-by-step explanation:  We are given to find the slope-intercept equation of the graphed line.

We know that

the slope-intercept equation of a line with slope m and y-intercept c is given by

$y=mx+c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

From the graph, we note that the slope and y-intercept of the graphed line are

$m=-\dfrac{5}{4},~~~~~(0,c)=(3,0)~~~\Rightarrow c=3.$

Substituting the values of m and c in equation (i), we get

$y=mx+c\\\\\Rightarrow y=-\dfrac{5}{4}+3.$

Thus, the required slope-intercept equation of the graphed line is $y=-\dfrac{5}{4}x+3.$

Option (A) is CORRECT.