Question

What are the slope and the y-intercept of the linear function that is represented by the graph?

On a coordinate plane, a line goes through points (negative 3, 0) and (negative 2, 4).
The slope is 3, and the y-intercept is 9.
The slope is 3, and the y-intercept is 12.
The slope is 4, and the y-intercept is 9.
The slope is 4, and the y-intercept is 12.

Answer 1

The answer is d, which is the slope of 4 and the y- intercept is 12.

Explanation:

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Tisa B Sora

Answer 2

The slope is 4, and the y-intercept is 12.

Explanation:

In the given question, the line goes through points (-3,0) and (-2,4).

We need to find the slope and the y-intercept of the line.

Finding Slope:

Slope is
`m=(y_2-y_1)/(x_2-x_1)`.

With points (-3,0) and (-2,4):

`m=(4-0)/(-2-(-3))=(4)/(1)=4`

The slope of the line is 4.

Finding y-intercept:

An appropriate equation for what we have so far is:

`y=4x+b`

We can solve for 'b' to get the y-intercept.

Replace 'x' and 'y' with one of the coordinates and solve for 'b':

`4=4(-2)+b\\4*-2=-8 \leftarrow \text {Distribute}\\4=-8+b\\4+8=-8+8+b \leftarrow \text {Addition Property of Equality} \\\boxed {12=b}`

The y-intercept is 12.

Final Answer:

The answer should be: "The slope is 4, and the y-intercept is 12."