Paul wants to write equations in the form y=mx+b for the lines passing through point D that are parallel and perpendicular to li
ne h. First he finds the slopes of these two lines. What could he do next to find the y-intercepts?
2 answers:
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When we write a line equation in the form
m is the slope of the line, and q is the y-intercept.
Since we want the y-intercept to be -3, our line will look like
In order to fix the slope, remember that two parallel lines have the same slope. So, the slope of the given line y=2x-5 is 2, and since we want a line parallel to this line, our slope will be 2 as well.
Plugging the values, we can finish the equation: