Question

What is the point-slope

The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-slope
form of the equation for this line?
Oy-3 = -2/3(x+8)
Oy+3 = -2/3(x – 8)
Oy+8= -2/3(x – 3)
Oy-8= -2/3(x + 3)

Answer 1

Last one

y - 8 = -⅔(x + 3)

Explanation:

Slope: -2/3

Point: (-3,8)

y - y1 = m(x - x1)

y - 8 = -⅔(x - -3)

y - 8 = -⅔(x + 3)

Answer 2

D

Explanation:

Point-slope form of a linear equation is given as:
`y-y_1=m(x-x_1)`, where
`(x_1,y_1)` is the point and m is the slope.

Here, we know our point is (-3, 8). We also can see our slope from the given slope-intercept form: y = -2/3x + 6. Since the coefficient of x is -2/3, then the slope is m = -2/3. Plug these in:

`y-y_1=m(x-x_1)`

`y-8=(-2/3)(x-(-3))=(-2/3)(x+3)`

The answer is thus D.