Question

The equation for line g can be written as y=
7
2
x+6. Line h includes the point (
–
2,
–
3) and is parallel to line g. What is the equation of line h?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answer 1

The slope of g is 7/2, so h has the same slope. Using point-slope with (-2, -3):

y + 3 = (7/2)(x + 2)

y = (7/2)x + 7 - 3

y = (7/2)x + 4