### Home > APCALC > Chapter 1 > Lesson 1.4.2 > Problem1-156

1-156.

Write the equation of the line parallel to $9y - 4x = 12$ through the point $(6, –7)$. Write the equation in graphing form as shown in the Math Notes box preceding problem 1-8.

Since parallel lines have the same slope, find the slope by rearranging the equation so that $y =$ ____________.

The Equation of a Line

When given the slope of a line and one point on the line, we can write the equation of the line in graphing form. This is the translation of the origin of the line $y = mx$ to the point $\left(h, k\right)$. The equation is of the form:

$y = m\left(x – h\right) + k$

Sometimes, you will see the equation of a line also written in point-slope form as $y – k = m\left(x – h \right)$.