Question

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

A. y=3x−2
B. y = 3x + 2
C. y=−13x+2
D. y=−3x+2

Answer 1

The answer is D because the y-intercept of the line is 2 and the slop of the line is --3. Rise being 3 and run being 1

Answer 2

Answer: D. y=−3x+2

Explanation:

We know that equation of a line passing through points
`(x_1,y_1)` and
`(x_2,y_2)` is

`(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Thus equation of line passing through points(1,-1) and (-1,5) is

`(y-(-1))=(5-(-1))/(-1-1)(x-1)\\\Righatrrow(y+1)=(6)/(-2)(x-1)\\\Rightarrow(y+1)=-3(x-1)\\\Rightarrow\ y+1=-3x+3\\\Rightarrow\ y=-3x+2`

Thus D is the right answer.

The equation of the line given by graph is y=−3x+2