Question

Write the equation of the line described below in slope-intercept form.

Find the equation of the line that is parallel to
the line y = x + 9 and passes through the
point (-10,-8). Write the equation in slope-
intercept form.

Answer 1

`\huge\boxed{\mathcal{HELLO!:)}}`

`\star\bigstar\star` Parallel lines have the same slope. Remember, parallel lines never intersect. Lines with the same slope, but different y-intercepts will not intersect.

`\star\bigstar\star`Now, we have the slope of the line and a point that it passes through.

We can use the Point-Slope Formula:

`\huge\boxed{\bf{y-y1=m(x-x1)}}`

Remember, y1 is the y-coordinate of the point, m is the slope, and x1 is the x-coordinate.

Plug in the values:

y-(-8)=1(x-(-10)

y+8=1(x+10)

y+8=x+10

y=x+10-8

y=x+2

`\huge\boxed{\mathbb{ANSWER:{\boxed{\bf{y=x+2}}}}}`

`\star\bigstar\star` I hope it helps you!

`\bold{Have~a~great~day!}`

`\rm{FabulousKingdom:-)`