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).

Answer 1

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

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

Explanation:

Answer 2

slope is 4 and y-intercept is 12

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.