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

Answer:

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

Step-by-step 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.

$y=mx+b$
$m=2$
$x=-1$
$y=2$
$2=2(-1)+b$
$2\times-1=-2$
$2=-2+b$
$-2+2=0$
$2+2=4$
$4=b$
$b=4$
$y=2x+4$

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.

$m=\frac{y2-y1}{x2-x1}$
$m=\frac{5-2}{2--1}=\frac{3}{3}$
$3\div3=1$
$m=1$

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

$y=mx+b$
$m=1$
$y=2$
$x=-1$
$2=1(-1)+b$
$1\times-1=-1$
$2=-1+b$
$-1+1=0$
$2+1=3$
$3=b$
$b=1$
$y=1x+3$

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

Hope this helps.