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Graph the equation using the slope and the y-intercept2x - 3y = 21Use the graphing tool to graph the equation. Use the slope and y-intercept when drawing the line.

User BigBagel
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1 Answer

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We have the linear function:


2x-3y=21

We can express it in slope-intercept form as:


\begin{gathered} 2x-3y=21 \\ -3y=-2x+21 \\ y=(-2)/(-3)x+(21)/(-3) \\ y=(2)/(3)x-7 \end{gathered}

Then, we know that the slope is m=2/3 and the y-intercept is b=-7.

To graph the function using the slope and y-intercept we have to find 2 points and draw the line that passes through them.

One of the points is given by the definition of the y-intercept: (0, -7).

Using the slope, we can assign a value to x, like x=3, and calculate the value of y:


y(3)=(2)/(3)\cdot3-7=2-7=-5

Then, the second point is (3,-5).

We can now graph the linear function as:

Graph the equation using the slope and the y-intercept2x - 3y = 21Use the graphing-example-1
User Tomas Eglinskas
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