Question

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.

Answer 1

Answer:

Sarita is wrong, the correct equation is $y=-3x+7$

Step-by-step explanation:

we know that

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

$y=mx+b$

we have

$point(3,-2)\\b=7$

substitute in the equation

$-2=m(3)+7$

Solve for m

$3m=-2-7$

$3m=-9$

$m=-3$

substitute

$y=-3x+7$

therefore

Sarita is wrong