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A line that includes the point (-1,6) has a slope of -3. What is its equation in slope-intercept form?

Respuesta :

gmany

Answer:

y = -3x + 3

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the slope m = -3 and the point (-1, 6) → x = -1, y = 6.

Substitute:

[tex]6=(-3)(-1)+b[/tex]

[tex]6=3+b[/tex]          subtract 3 from both sides

[tex]6-3=3-3+b[/tex]

[tex]3=b\to b=3[/tex]

Finally:

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

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