Question

Need help on these questions!

Find the slope of each line.

1. Y=x+1

Solve the equations.
2. -6+x/2=2

Simplify each expression.
3. -4(5n-5)+6(1-7n)

Answer 1

y = m x + b where m is slope
so y = 1 x + 1
means slope = m = 1

multiply both sides by 2
-12 + x = 4
add 12 to both sides
x = 16

first multiply out
-20 n + 20 + 6 - 42 n
then combine like terms
-22 n + 26

Answer 2

1. So you know that the slope intercept form is y=mx+b, right. And m is the slope. So in this case there is no straight out coefficient, but x is also equal to 1x. Therefore one is your slope.

2. So first bring -6 to the opposite side of the equation by adding 6 to each side. You are left with x/2 = 8. Then you want to separate x, so you multiply each side by two to get rid of the denominator. This leaves x being 16.

3. So in order of PEMDAS you would multiply first. So begin by distributing the -4 to make the left side be -20n + 20. Then distribute the 6 on the other side to make it 6 -32n. Since all you have to do is add, add -20n + 20 + 6 + -32n. Simplified the answer would be -12n + 26.

Hope that helps.
Serena, a 10th grade student.