The equation of line g is y=
–
1
3
x–8. Line h includes the point (
–
10,6) 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.
Since line h is parallel to line g, it will have the same slope as line g. The slope of line g is -1/3.
Using the point-slope form of a linear equation, we have: y - 6 = -1/3(x + 10)
Rearranging this equation to slope-intercept form, we get:
y = -1/3x - 28/3
Therefore, the equation of line h is y = -1/3x - 28/3.