How do you graph $y - 7 = - 3 x$ $y - 7 = -3x$ by plotting points?

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Answer 1 · 2018-05-29T11:25:19

Refer to the explanation below.

$y - 7 = - 3 x$ $y - 7= -3x$

First begin by rearranging the equation to form a linear function.

$y - 7 = - 3 x$ $y - 7= -3x$

$y = - 3 x + 7$ $y = -3x + 7$

Now, looking at the equation you can see that:

Now, find the point of intersection of the graph along the $y$ $y$ -axis by making $x = 0$ $x = 0$ .

$y = - 3 x + 7$ $y = -3x + 7$

$y = - 3 (0) + 7$ $y = -3(0) + 7$

$y = 0 + 7$ $y = 0 + 7$

$y = 7$ $y = 7$

Therefore, $(0, 7)$ $(0,7)$ is your point of intersection of the graph with the $y$ $y$ -axis.

Now, find the point of intersection of the graph along the $x$ $x$ -axis by making $y = 0$ $y = 0$ .

$y = - 3 x + 7$ $y = -3x + 7$

$0 = - 3 x + 7$ $0 = -3x + 7$

$0 - 7 = - 3 x$ $0 - 7 = -3x$

$\frac{- 7}{- 3} = \frac{- 3 x}{- 3}$ $(-7) / -3 = (-3x)/-3$

$x = 2.33333$ $x = 2.33333$

Now sketch the complete graph.

graph{y - 7= -3x [-4.98, 15.01, -1.88, 8.12]}

How do you graph y−7=−3xy - 7 = -3x by plotting points?