What is the equation of the line with a slope of 10 through the point (4, 9)

y = 10x - 31

Step-by-step explanation:

The general form for a linear equation in slope-intercept form is  

y = mx + b where m is the slope and b is the y-intercept

Use what we know about our line to solve the rest. By using one of the given points, we have 3 of the 4 variables in the above equation. We use (4, 9), which is (x, y), and we know that  

m = 10

The equation becomes...

9 = 10(4) + b (now solve for b)

9 = 40 + b

-31 = b  

Plug that value into the general form...

y = 10x - 31

2 5/8 is the final answer! : )