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

Step-by-step explanation:

The slope intercept form of a line is given by

Here m is the slope and b is the y intercept.

Now, the slope can be defined as the ratio of rise and run.

It has been given that at the curb a ramp is 11 inches off the ground. It means the rise is -11.

Now, other end of the ramp rests on the street 55 inches straight out from the curb. Hence, run is 55.

Therefore, the slope is given by

Therefore, the linear equation is

Also, from the second condition, we have a point (55,0)

Therefore, the linear equation is

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.