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=-(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=-(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=-(5)/(4)+3.`

Thus, the required slope-intercept equation of the graphed line is
`y=-(5)/(4)x+3.`

Option (A) is CORRECT.