Question

graph $y = 9x$.

Explanation:

Step1: Identify the slope-intercept form

The equation \( y = 9x \) is in the slope - intercept form \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. For \( y = 9x \), \( m = 9 \) and \( b=0 \). This means the line passes through the origin \((0,0)\) (since when \( x = 0 \), \( y=9\times0 = 0\)).

Step2: Find another point

To graph the line, we can find another point. Let's choose \( x = 1 \). Substitute \( x = 1 \) into the equation \( y=9x \). Then \( y=9\times1=9 \). So we have another point \((1,9)\).

Step3: Draw the line

Plot the points \((0,0)\) and \((1,9)\) on the coordinate plane. Then draw a straight line passing through these two points. The line will have a steep positive slope since the slope \( m = 9\) is a large positive number.

(Note: Since this is a graphing problem, the final answer is the graph of the line \( y = 9x\) passing through \((0,0)\) and \((1,9)\) (and other points obtained by substituting different \( x\) values into the equation) on the given coordinate grid.)

Answer:

Step1: Identify the slope-intercept form

The equation \( y = 9x \) is in the slope - intercept form \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. For \( y = 9x \), \( m = 9 \) and \( b=0 \). This means the line passes through the origin \((0,0)\) (since when \( x = 0 \), \( y=9\times0 = 0\)).

Step2: Find another point

To graph the line, we can find another point. Let's choose \( x = 1 \). Substitute \( x = 1 \) into the equation \( y=9x \). Then \( y=9\times1=9 \). So we have another point \((1,9)\).

Step3: Draw the line

Plot the points \((0,0)\) and \((1,9)\) on the coordinate plane. Then draw a straight line passing through these two points. The line will have a steep positive slope since the slope \( m = 9\) is a large positive number.

(Note: Since this is a graphing problem, the final answer is the graph of the line \( y = 9x\) passing through \((0,0)\) and \((1,9)\) (and other points obtained by substituting different \( x\) values into the equation) on the given coordinate grid.)