Find an equation for the line satisfying the given conditions.
Through (4, 4) and parallel to 5x - 4y = 4.

Question

Find an equation for the line satisfying the given conditions.
Through (4, 4) and parallel to 5x - 4y = 4.

whpalmer4 · Answer

Okay, for two lines to be parallel, they must have the same slope.  Find the slope of the existing line, then use the point-slope formula to write the equation of the parallel line that goes through the known point.

Your existing line is in Standard form: $$Ax + By = C, a \ne 0, b \ne 0$$Rearrange it into slope-intercept form and read off the value of the slope ($m$):
$$y = mx + b$$

The point-slope formula for a line through a known point $(x_0, y_0)$ is:$$y-y_0 = m(x-x_0)$$

anonymous · Answer

Thank you!

whpalmer4 · Answer

What did you get for your answer?