Question

Write the equation of the given line in slope-intercept form

Answer 1

Answer:

y = -3x -1

Step-by-step explanation:

Hi there!

We are given a line on a coordinate grid, with 2 marked points, (-1, 2) and (1, -4)

We can use these points to help find the equation of the line, which we can write in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line
The formula for the slope calculated from 2 points is $\frac{y_2-y_1}{x_2-x_1}$, where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything we need to find the slope, but let's label the values of the points to help avoid confusion.

$x_1=-1\\y_1=2\\x_2=1\\y_2=-4$

Now substitute these values into the formula to find the slope

m=$\frac{y_2-y_1}{x_2-x_1}$

m=$\frac{-4-2}{1--1}$

Simplify

m=$\frac{-4-2}{1+1}$

m=$\frac{-6}{2}$

Divide

m= -3

The slope of the line is -3

We can substitute this into the formula.
Here's our line so far:

y = -3x + b

Now we need to find b

As the equation passes through the points (-1, 2) and (1, -4), we can use either one to find the value of b

Taking (-1, 2) for example:

Substitute -1 as x and 2 as y.

2 = -3(-1) + b

multiply

2 = 3 + b

Subtract 3 from both sides

-1 = b

Substitute -1 as b.

y = -3x - 1

Hope this helps!

See more on this topic here: brainly.com/question/27402935