The equation for line j can be written as y=
–
5
7
x–10. Line k, which is parallel to line j, includes the point (
–
9,5). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
The slope of line j is -5/7. Since line k is parallel to line j, it will have the same slope.
Using the point-slope form of a linear equation, we have:
y - y₁ = m(x - x₁)
y - 5 = -5/7(x + 9)
Expanding and rearranging, we get:
y = -5/7x - 45/7 + 5
y = -5/7x - 20/7
Therefore, the equation of line k in slope-intercept form is y = -5/7x - 20/7.