Question

PLEASE HELP!

1. Write an equation in slope
intercept form that passes
through (−1,2) and has a
slope of 2.
2.
Write the equation of the
line in slope intercept form
that contains the points
(4,−2) and (2,5).

Answer 1

1.
`y=2x+4`
2.
`y=1x+3`

Explanation:

Given the following questions:

Question one:

Point A = (-1, 2) = (x1, y2)
m = 2

To find the answer we will use the formula to find the slope intercept, substitute the values and then solve for b.


`y=mx+b`

`m=2`

`x=-1`

`y=2`

`2=2(-1)+b`

`2*-1=-2`

`2=-2+b`

`-2+2=0`

`2+2=4`

`4=b`

`b=4`

`y=2x+4`

The slope intercept form of the line that passes through (-1, 2) and has a slope of 2 is "y = 2x + 4."

Question two:

Point A = (-1, 2) = (x1, y1)
Point B = (2, 5) = (x2, y2)

To find the slope intercept form we must first find the slope using the formula to calculate slope or rise over run.


`m=(y2-y1)/(x2-x1)`

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

`3/3=1`

`m=1`

Now that we have the slope, we will use the formula for slope intercept, substitute the values, then solve for b.


`y=mx+b`

`m=1`

`y=2`

`x=-1`

`2=1(-1)+b`

`1*-1=-1`

`2=-1+b`

`-1+1=0`

`2+1=3`

`3=b`

`b=1`

`y=1x+3`

The line that passes through the points (4, -2) and (2, 5) in slope intercept form is indeed "y = 1x + 3."

Hope this helps.