Question

find the intercepts and use them to graph the equation.
y=2x+4
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the intercept(s) is/are .
(type an ordered pair. use a comma to separate answers as needed.)
b. there are no intercepts.
use the graphing tool to graph the equation. use the intercepts when drawing the line. if only
one intercept exists, use it and another point to draw the line.
click to
enlarge
graph

Explanation:

Step1: Find y-intercept (set x=0)

Set $x=0$, substitute into $y=2x+4$:
$y=2(0)+4=4$
Y-intercept: $(0, 4)$

Step2: Find x-intercept (set y=0)

Set $y=0$, solve for $x$:
$0=2x+4$
$2x=-4$
$x=\frac{-4}{2}=-2$
X-intercept: $(-2, 0)$

Answer:

A. The intercept(s) is/are $(-2, 0), (0, 4)$

To graph the line, plot the points $(-2, 0)$ and $(0, 4)$, then draw a straight line connecting them.