Question

What is the equation of the line shown in the graph?

A function graph of a line with two points (-3,1) and (2,-4) with an x axis of negative five to five and a y axis of negative five to five


Drag and drop the expressions to write the equation of the line in slope-intercept


form. y =__+__

x

-x

-2x

1

-1

-2

2x

-4

Answer 1

I want any student who ever does this test again to come across this answer because I know how hard it is to find those questions, here are the first five answers

Explanation:

Answer 2

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points (-3, 1) and (2, -4). Substitute:

`m=(-4-1)/(2-(-3))=(-5)/(5)=-1`

Therefore we have the equation of a line

`y=-1x+b\to y=-x+b`

Put the coordinates of the point (-3, 1) to the equation:

`1=-(-3)+b`

`1=3+b` subtract 3 from both sides

`-2=b\to b=-2`

Answer: y = -x - 2