Write an equation for the line that is parallel to the given line and passes through the given point . Write the equation of the line in y=mx+b form y=5x-7;(2,-2)

A parallel line has the same slope as the original equation. Therefore, the slope (m in y=mx+b) will be 5. From there, we can use the point-slope formula and convert it into the slope-intercept formula (y=mx+b).

Point-slope is:

y-y₁=m(x-x₁)

Plug in our known values:

y-(-2)=5(x-(2))

Distribute and set it equal to y:

y+2=5x-10

y=5x-12

Let me know if you have any more questions :)

4/8 is left in her glass.

Step 1–find the common denominator (which is 8)

Step 2–multiply 3/4 times 2 which will give you 6/8

Step 3– Add 6/8 and 3/8 which will give you an improper fraction of 9/8

Step 4–Subtract 5/8 from 9/8

Therefore your answer is 4/8