Question

The equation of line f is y − 9 = -5(x + 7) . Line g is parallel to line f and passes through (3, -8) . What is the equation of line g? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Answer 1

The slope intercept form: y = - 5x + 7

Explanation:

The equation of line f is y − 9 = -5(x + 7)

You need to find the slope of line f

y - 9 = -5(x + 7)

In point slope form: y - y1 = m(x - x1) where m = slope

In the line f, slope m = -5

Parallel lines, slope is the same so slope of line g is also equal - 5

Line g passes through (3, - 8) so equation in point slope form:

y + 8 = -5(x - 3)

y + 8 = -5x + 15

y = -5x + 7 <-----this is slope intercept form