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?

Answer 1

Answer:

B

Step-by-step 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:

$3=\frac{1}{4}(1)+b$

Now we just need to solve for b:

$3-\frac{1}{4}=b$ and

$\frac{12}{4}-\frac{1}{4}=b$ so

$b=\frac{11}{4}$