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

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

y = 13/3 - 7/3x

        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]

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."