Graph the equation on paper, and then choose the correct graph.
y=3x
Question content area bottom left
Part 1
Choose the correct graph on the right.
.
.
.
Question content area right
Part 1
A.
-5
5
-5
5
x
y
A coordinate system has a horizontal x-axis labeled from negative 5 to 5 in increments of 1 and a vertical y-axis labeled from negative 5 to 5 in increments of 1. A line that rises from left to right has slope 3 and crosses the vertical axis at the point (0, 1).
B.
-5
5
-5
5
x
y
A coordinate system has a horizontal x-axis labeled from negative 5 to 5 in increments of 1 and a vertical y-axis labeled from negative 5 to 5 in increments of 1. A curve is plotted. As x increases comma the curve rises from negative infinity comma passes through the points left parenthesis negative 1 comma 0 right parenthesis comma left parenthesis 0 comma 1 right parenthesis comma and left parenthesis 1 comma 2 right parenthesis comma and continues to rise toward infinity.
C.
-5
5
-5
5
x
y
A coordinate system has a horizontal x-axis labeled from negative 5 to 5 in increments of 1 and a vertical y-axis labeled from negative 5 to 5 in increments of 1. A curve has the y-axis as an asymptote. As x increases from 0, the curve rises from negative infinity, passes through the point (1, 0), and continues to rise toward infinity. As x increases, the curve rises more and more slowly.
D.
-5
5
-5
5
x
y
The correct graph for the equation y=3x is graph A.
Graph A shows a line rising from left to right with a slope of 3. It passes through the point (0, 1), which confirms that it is the correct graph for the equation y=3x.
The correct graph for the equation y=3x is option A.
To answer this question, you need to graph the equation y=3x on a coordinate system.
Each option (A, B, C, D) represents a different graph.
Let's go through the options one by one and determine which one is correct.
Option A:
This option describes a line that rises from left to right with a slope of 3. The line crosses the vertical axis at the point (0, 1).
Option B:
This option describes a curve that rises as x increases. The curve passes through the points (-1, 0), (0, 1), and (1, 2).
Option C:
This option describes a curve that has the y-axis as an asymptote. As x increases from 0, the curve rises and passes through the point (1, 0).
Option D:
This option does not provide enough information to determine the shape of the graph.
Since the equation y=3x represents a straight line with a slope of 3, the correct graph is Option A.
Therefore, the correct answer is Option A.