The points (2, 4) and (6, 7) lie on a line. What is the slope of the line?

3/4

Step-by-step explanation:

To fine the slope, first subtract the y-values.

4 - 7 = -3

Next, subtract the x-values.

2 - 6 = -4

Divide the two values.

-3/-4 = 3/4

The slope is 3/4.

IMPORTANT:  Make sure to subtract the y-values and x-values in the same order.  This means that if you subtracted the y-value from point 1 by the y-value from point 2, you have to subtract the x-value from point 1 by the x-value from point 2.  If you switch them, you will get the wrong sign.

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15