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Sarita says the equation of a line with a y-intercept of 7 that includes the point (3, -2) is y = -2 / 3 x + 7. Is she right? If so, explain why. If not, find the correct equation.

Respuesta :

calculista

Answer:

Sarita is wrong, the correct equation is [tex]y=-3x+7[/tex]

Step-by-step explanation:

we know that

The equation of a line in slope intercept form is equal to

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

we have

[tex]point(3,-2)\\b=7[/tex]

substitute in the equation

[tex]-2=m(3)+7[/tex]

Solve for m

[tex]3m=-2-7[/tex]

[tex]3m=-9[/tex]

[tex]m=-3[/tex]

substitute

[tex]y=-3x+7[/tex]

therefore

Sarita is wrong

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