Question

A line has a slope of Negative two-thirds and passes through the point (–3, 8). What is the equation of the line?
y = negative two-thirds x + 6
y = negative two-thirds x + 8
y = 6 x minus two-thirds
y = 8 x minus two-thirds

Answer 1

Answer:

y = negative two-thirds x + 6

Step-by-step explanation:

the form of a equation of a line in y intercept for is in y=mx+b

m is the slope, so you put -2/3 there

next, we have to find b, which is the y interecept (when the line meets the y axis)

we can do this by substituting the point (-3,8) into the equation

(8)=-2/3(-3)+b

8=2+b

6=b

so the full equation of the line is y=-2/3x+6

Answer 2

Answer:

y = - $\frac{2}{3}$ x + 6

Step-by-step explanation:

m = - $\frac{2}{3}$ and P(- 3, 8)

y - 8 = - $\frac{2}{3}$ (x + 3)

y = - $\frac{2}{3}$ x + 6