Question

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)

Answer 1

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

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