At the curb a ramp is 11 inches off the ground. The other end of the ramp rests on the street 55 inches straight out from the curb. Write a linear equation in slope-intercept form that relates the height y of the ramp to the distance x from the curb.

y = 5x + 11
y = -1/5x + 11
y = -1/5x + 55
y = 1/5x + 55

Question

At the curb a ramp is 11 inches off the ground. The other end of the ramp rests on the street 55 inches straight out from the curb. Write a linear equation in slope-intercept form that relates the height y of the ramp to the distance x from the curb.

y = 5x + 11
y = -1/5x + 11
y = -1/5x + 55
y = 1/5x + 55

anonymous · Answer

Since slope is rise/run, the slope has to be 11 (the height, or rise of the ramp) over 55 ( the length, or run of the ramp)
Also, since the problem states the highest part of the ramp first, from left the right the ramp is going down, so the slope is negative.
11//55 reduces to 1/5, and the slope must be negative, so only B and C could be the right answer.
Since the height of the ramp begins at 11, B is the correct choice of the 2 (think of it as the y-intercept)

anonymous · Answer

wow thankyou :)