Question

find the intercepts and graph the equation by plotting points.
y = 2x + 4
select the correct choice 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.
click to
enlarge
graph

Explanation:

Step1: Find x-intercept (y=0)

Set \( y = 0 \) in \( y = 2x + 4 \).
\( 0 = 2x + 4 \)
Subtract 4: \( -4 = 2x \)
Divide by 2: \( x = -2 \).
X-intercept: \( (-2, 0) \).

Step2: Find y-intercept (x=0)

Set \( x = 0 \) in \( y = 2x + 4 \).
\( y = 2(0) + 4 = 4 \).
Y-intercept: \( (0, 4) \).

Step3: Graph by plotting points

Plot \( (-2, 0) \) and \( (0, 4) \), then draw a line through them.

Answer:

A. The intercept(s) is/are \((-2, 0)\) and \((0, 4)\) (for x and y intercepts respectively; if single intercept asked, but here two exist). To graph, plot these points and draw the line.