Aline includes the points (8,-2) and (-8,-4). what is the slope intercept

The equation of the line would be y = 1/8x - 3

Step-by-step explanation:

to find the slope intercept form of the line, you must first find the slope. You can do this using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-2 - -4)/(8 - -8)

m = 2/16

m = 1/8

Then you can use this slope along with either point in point-slope form. Then solve for y.

y - y1 = m(x - x1)

y + 4 = 1/8(x + 8)

y + 4 = 1/8x + 1

y = 1/8x - 3

4+0.75(m-5) ≤ 10

Step-by-step explanation:

We start out with 4, since the car wash charges $4 for the first 5 minutes.  We add to this the cost based on the minutes over 5 that he used the car wash.

Since m is the number of minutes, we first subtract 5 from this.  This is because the first 5 minutes are included in the initial $4.  Since each minute past 5 costs $0.75, we multiply m-5 by 0.75:

0.75(m-5)

Together this gives us

4+0.75(m-5)

He only has $10 to spend.  This means he must spend less than or equal to $10; this gives us

4+0.75(m-5) ≤ 10