Question

EASY POINTS WILL GIVE BRAINLSIT TO BEST ASNWER HELP!!

write the slope intercept form of an equation though given points
through (-1, 1) and (-2, -3)

Answer 1

`\huge\boxed{y=4x+5}`

The slope intercept form.

`\huge\begin{array}{ccc}y=mx+b\end{array}`

`m` - the slope

`b` - y-intercept

The two point form:

`\huge\begin{array}{ccc}y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)\end{array}`

We have two points:

`A(-1,\ 1)\to x_1=-1,\ y_1=1\\\\B(-2,-3)\to x_2=-2,\ y_2=-3`

Substitute:

`y-1=(-3-1)/(-2-(-1))(x-(-1))\\\\y-1=(-4)/(-2+1)(x+1)\\\\y-1=(-4)/(-1)(x+1)\\\\y-1=4(x+1)`

Use the Distributive Property:

`a(b+c)=ab+ac`

`y-1=4x+4`

add 1 to both sides

`\huge\boxed{y=4x+5}`

Answer 2

y = 4x + 5

Explanation:

change in y ÷ change in x = gradient

-3 - 1 = -4

-2 - -1 = -1

-4 ÷ -1 = 4

gradient = 4

equation of a line

y = mx + c

substitue values

-3 = -2(4) + c

-3 = -8 + c

5 = c

confirmation of c

1 = -1(4) + c

1 = -4 + c

5 = c (same value for c = correct)

put into equation of a line

y = 4x + 5