Question

I need help with this problem

Answer 1

y = 3x - 4

Explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

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

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line

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

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

y = 3x - 4 ← equation of line

Answer 2

slope = Δy / Δx

11-8
--------
5-4

=

3
----
1

= 3