stellastyers
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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).

Answer :

PunIntended

Answer:

slope is 4 and y-intercept is 12

Step-by-step explanation:

To solve this problem, let's actually just write the equation of the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Slope is change in y divided by change in x. Given (-3, 0) and (-2, 4), the slope will be: (4 - 0) / (-2 - (-3)) = 4 / 1 = 4. So, the slope is m = 4.

Now, our equation so far is y = 4x + b. To find b, plug in, say, -3 for x and 0 for y:

0 = 4 * (-3) + b

0 = -12 + b

b = 12

Then the slope is 4 and the y-intercept is 12.

anishkon04

Answer:

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{0 - 4}{-3+2} = \frac{-4}{-1} = 4[/tex]

4 is the slope

now we have to plug in the slope intercept formula where m is 4

you can find b by plugging one of the points

I choose (-3,0) since it is easier to work with

0 = 4(-3) + b

0 = -12 + b

12 = b

Our y intercept is 12

finally the slope intercept form is

y = 4x + 12

Slope formula - (y2 - y1)/ (x2-x1)

Slope intercept form = y = mx + b

Step-by-step explanation:

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