Question

What is the function with a rate of change of 3/2 whose graph passes through the point (4, 10.5)?

Answer 1

y=
`(3)/(2)`*x+4.5

Explanation:

We are given a slope and a point. That is why we will use point slope form.

The default equation is:

(y-a)=m*(x-b)

a is the y coordinate of our point and b is the x coordinate of our point

m is the slope.

We will plug in the values.

(y-10.5)=3/2*(x-4)

Now we just manipulate the equation

y=
`(3)/(2)`*x+4.5