How to graph y-7=-3x by plotting points?

karruajen5qa

karruajen5qa

Answered question

2023-02-13

How to graph y - 7 = - 3 x by plotting points?

Answer & Explanation

Lena Cherry

Lena Cherry

Beginner2023-02-14Added 6 answers

y - 7 = - 3 x
To create a linear function, first rearrange the equation.
y - 7 = - 3 x
y = - 3 x + 7
Now, looking at the equation you can see that:

the gradient is negative due to the - 3
the graph has been shifted up by 7

Now, find the point of intersection of the graph along the y -axis by making x = 0 .
y = - 3 x + 7
y = - 3 ( 0 ) + 7
y = 0 + 7
y = 7
Therefore, ( 0 , 7 ) is your point of intersection of the graph with the y -axis.
Now, find the point of intersection of the graph along the x -axis by making y = 0 .
y = - 3 x + 7
0 = - 3 x + 7
0 - 7 = - 3 x
- 7 - 3 = - 3 x - 3
x = 2.33333
Now sketch the complete graph.
graph{y - 7= -3x [-4.98, 15.01, -1.88, 8.12]}

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