Question

Which graph best represents the line that has a y-intercept of 2 and a slope of 1/2?A. Graph DB. Graph AC. Graph CD. Graph B

Answer 1

Given:

y-intercept = 2

slope =1/2

To determine the graph that best represents the line based on the given information, we use the formula:

y=mx+b

where:

m=slope

b=y-intercept

Based on this, the equation of the line is:

$y=\frac{1}{2}x+2$

We can plug in any values for x to get y values.

Example:

x=0

So,

$\begin{gathered} y=\frac{1}{2}x+2 \\ y=\frac{1}{2}(0)+2 \\ y=2 \end{gathered}$

This means that one of the points is (0,2). Hence, the graph is shown below:

Therefore, the answer is B. Graph A.