Question

Can someone help me?

Answer 1

A. y = 2x + 4

Explanation:

We need to find the equation of the line in slop-intercept form. This is written as y = mx + b. Let m represent the slope and b represent the y intercept.

First lets find the slope. We can do this by finding rise/run.

Two points on the graph:

(0, 4) and (3, 10)

We'll set up the formula like this:

(y2 - y1) ÷ (x2 - x1)

(10 - 4) ÷ (3 - 0)

6 ÷ 3

= 2

This means the slope (m) is 2.

Now we'll find the y-intercept. This is the point where the line crosses the y-axis. If we look at the graph, this is at (0, 4).

This means the y-intercept (b) is 4.

Now plug the values into the equation:

y = mx + b

y = 2x + 4

This is the equation, so the answer is A!

Answer 2

A

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, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m =
`(4-0)/(0+2)` =
`(4)/(2)` = 2

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

y = 2x + 4 → A