Question

What is the equation of the following line written in slope-intercept form?

A y = -3/2x - 9/2
B y = -2/3x + 9/2
C y = 3/2 x - 9/2

Answer 1

Your answer should be A. y=-3/2x-9/2

Answer 2

Answer: The correct option is

(A)
`y=-(3)/(2)x-(9)/(2).`

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

From the graph, we note that

the straight line passes through the points (-3, 0) and (-1, -3).

The SLOPE of a straight line passing through the points (a, b) and (c, d) is given by

`m=(d-b)/(c-a).`

So, the slope of the graphed line will be

`m=(-3-0)/(-1-(-3))=(-3)/(-1+3)=-(3)/(2).`

Since the line passes through the point (-3, 0), so its equation is given by

`y-0=m(x-(-3))\\\\\\\Rightarrow y=-(3)/(2)(x+3)\\\\\\\Rightarrow y=-(3)/(2)x-(9)/(2).`

Thus, the required equation of the graphed line in slope-intercept form is
`y=-(3)/(2)x-(9)/(2).`

Option (A) is CORRECT.