Math  /  Algebra

QuestionGraph the line. y=4xy=4 x

Studdy Solution

STEP 1

1. The equation y=4x y = 4x is in slope-intercept form, y=mx+b y = mx + b .
2. The slope m m is 4, and the y-intercept b b is 0.
3. We need to plot points and draw the line on a Cartesian coordinate system.

STEP 2

1. Identify the slope and y-intercept from the equation.
2. Plot the y-intercept on the graph.
3. Use the slope to find another point on the line.
4. Draw the line through the points.

STEP 3

Identify the slope and y-intercept from the equation y=4x y = 4x .
The slope m m is 4, and the y-intercept b b is 0.

STEP 4

Plot the y-intercept on the graph.
Since the y-intercept b=0 b = 0 , plot the point (0,0)(0, 0) on the graph.

STEP 5

Use the slope to find another point on the line.
The slope m=4 m = 4 can be interpreted as "rise over run," or 41\frac{4}{1}.
From the y-intercept (0,0)(0, 0), move up 4 units and right 1 unit to find another point (1,4)(1, 4).

STEP 6

Draw the line through the points.
Plot the points (0,0)(0, 0) and (1,4)(1, 4) on the graph, and draw a straight line through these points extending in both directions.

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