Question

question 19
sketch a graph of $y = 3x$
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Explanation:

Step1: Identify line type and intercept

The equation $y=3x$ is a linear function in the form $y=mx+b$, where $m=3$ (slope) and $b=0$ (y-intercept). This means the line passes through the origin $(0,0)$.

Step2: Find a second point

Choose $x=1$, substitute into the equation:
$y=3(1)=3$
This gives the point $(1, 3)$.

Step3: Find a third point (negative x)

Choose $x=-1$, substitute into the equation:
$y=3(-1)=-3$
This gives the point $(-1, -3)$.

Step4: Plot and connect points

Plot the points $(0,0)$, $(1,3)$, and $(-1,-3)$, then draw a straight line through them that extends across the grid.

Answer:

A straight line passing through the points $(0,0)$, $(1,3)$, and $(-1,-3)$, extending across the provided coordinate grid.