Question

What is the slope of the line 5(y+2) = 4(x-4)

Answer 1

Answer: 4/5

Step-by-step explanation:

If you put the equation in point slope form, then the equation is...

y+2 = (4/5)(x-4)

Then we can identify the slope as 4/5.

Answer 2

$\text{Solve the equation by turning it into slope intercept form:}\\\\5(y+2) = 4(x-4)\\\\\text{Use the distributive property:}\\\\5(y+2) = 4(x-4)\\\\5y+10=4x-16\\\\\text{Subtract 10 from both sides}\\\\5y=4x-26\\\\\text{Divide by 5}\\\\y=\frac{4}{5}x-\frac{26}{5}\\\\\\\text{The slope is the number next to the y variable, so the slope would be 4/5}\\\\\boxed{\text{Slope:}\, \frac{4}{5}}}$