What are the x-intercepts of the quadratic function?

f(x)=x^2+2x−24

enter your answers in the boxes.

and

x= -6  and x= 4

Step-by-step explanation:

WE need to find x intercepts for the given quadratic function

To find x intercept we set f(x)=0 and solve for x

To solve for x we need to factor x^2 +2x-24

We need to find out two factors whose product is -24 and sum is 2

6 times -4= -24  and 6-4= 2

Break the middle term 2x using factors 6x-4x

0=(x+6)(x-4)

now we set each factor =0 and solve for x

x+6 =0 , so x=-6

x-4=0 so x= 4

x= -6  and x= 4

The line has a slope of -7/6

Step-by-step explanation:

To find the slope of a line, you only need two of its points.  Slope is defined as the difference along the y axis divided by the difference along the x axis.

So let's take any two points, and find that slope.  We'll use (-8, 8) and (-2, 1):

So the slope of the line -7/6