Question

I need an answer to this math problem fast, (in the following image.) please answer the questions asked in it too.

Answer 1

see explanation

Explanation:

(1)

the point where the line crosses the y - axis is (0, 4 )

(2)

calculate the slope m , using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (- 3, - 2) ← 2 points on the line

substitute these values into the formula for m

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

3)

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

here slope m = 2

the line crosses the y- axis at (0, 4 ) , then c = 4

y = 2x + 4 ← equation of line