Question

Find the slope of the lines. Are the graphs of the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell if they are parallel. Then explain how you can use the slope of two lines to tell if they are perpendicular y=37x+11 7x+3y=13 show all the work plz

Answer 1

Slope-intercept form:

y = mx + b   "m" is the slope, "b" is the y-intercept

y = 37x + 11      The slope is 37

7x + 3y = 13       Get "y" by itself, and subtract 7x on both sides

7x - 7x + 3y = 13 - 7x

3y = 13 - 7x        Divide 3 on both sides

$\frac{3y}{3}=\frac{13-7x}{3}$y = 13/3 - 7/3x

$y=\frac{13}{3}-\frac{7}{3}x$         The slope is -7/3

For lines to be parallel, their slopes have to be the SAME.

For lines to be perpendicular, their slopes have to be negative reciprocals/the opposite (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2

The slope of the lines are 37 and -7/3, the slopes are neither perpendicular or parallel.

[if the slope was 3/7 not 37, then the slopes would be perpendicular]