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Graph a line that has a slope of -3 and contains the point (4,-2)

Sagot :

absor201

Answer:

The equation of the line is:

[tex]y = -3x+10[/tex]

The graph is attached below.

Step-by-step explanation:

Given that the line has a slope of -3, so

m = -3

As the point contains the point (4, -2), so we can use the point-slope form of the line equation to determine the line.

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

so substituting the values m = -3 and the point (4, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-2) = -3(x-4)[/tex]

[tex]y+2 = -3x+12[/tex]

[tex]y = -3x+12-2[/tex]

[tex]y = -3x+10[/tex]

Therefore, the equation of the line is:

[tex]y = -3x+10[/tex]

The graph is attached below.

View image absor201
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