Question

The graph of a linear function has a slope of 1/4 and passes through the point (1,3). What is the y-intercept of the function?

A. b=1/4
B. b=11/4
C. b= -1/4
D. b=4

Answer 1

B

Explanation:

In slope intercept form, y = mx + b, the m is the slope, the b is the y intercept, and x and y can be subbed in from the point you are given of (1, 3). We are told the slope, so everything we have fills in like this:

`3=(1)/(4)(1)+b`

Now we just need to solve for b:

`3-(1)/(4)=b` and

`(12)/(4)-(1)/(4)=b` so

`b=(11)/(4)`