Question

What is the slope-intercept form of the equation of the line shown in the graph?

A. y = x
B. y = 3/4x + 3
C. y = −4/3x + 4
D. y = 4/3x – 4

Answer 1

The slope-intercept form is y = 4/3x - 4

Answer 2

Answer: The slope-intercept form of the equation of the line is

`y=(4)/(3)x-4.`

Explanation: We are to find the slope-intercept form of the equation of the line shown in the graph.

The points (3, 0) and (0, -4) are two points on the line.

So, the slope of the line will be

`m=(-4-0)/(0-3)=(4)/(3).`

Since the line passes through the point (3, 0), so the equation of the line will be

`y-0=(4)/(3)(x-3)\\\\\\\Rightarrow y=(4)/(3)(x-3)\\\\\\\Rightarrow 3y=4x-12\\\\\\\Rightarrow y=(4)/(3)x-4.`

Therefore, the slope-intercept form of the equation of the line is

`y=(4)/(3)x-4.`

Thus, option (D) is correct.