Two cyclists, 56 miles apart, start riding toward each other at the same time. one cycles 3 times as fast as the other. if
they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?
a write an equation using the information as it is given above that can be solved to answer this problem. use the
variable r to represent the speed of the slower cyclist.
b. what is the speed of the faster cyclist?

gdp is the best phrase!

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points