19.8k views
0 votes
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)

User Jarekczek
by
7.5k points

2 Answers

3 votes

Answer:

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)

User Arjun Sol
by
7.5k points
0 votes

Answer:

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.

User Glenn Mohammad
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.