Question

Write an equation of the line in slope- intercept form given the
following:
1. The line passes the points (-6, 2) and (3 ,-5).
2. The line passes the point (3,-4) and a slope of 3.
3. A line that has a slope of 2 and a − of 3
2
.
4. The line passes through the points ( -1,3) and (2, 0).
5. The line has a slope -3 and passes through the point (2,1).
RIGHT ANSWER W/ SOLUTION MAY BRAINLIEST

Answer 1

1. y - 2 = -5-2/3-(-6) (× - (-6))

y-2=-7/9 (x + 6)

y - 2= -7/9x - 14/3

y = -7/9x - 14/3 + 2

y = -7/9x - 8/3

2. m = 3; (3,-4)

y — Y₁ = m(x − x₁)

y − (−4) = 3(x − 3)

y+4= 3x - 9

y = 3x - 9-4

y = 3x - 13

3. answer will be 0

4. x+y=2

5.y-k = m(x-h) where m is the slope and (h,k) is the given point.

Since you are given m = 3 , and (h,k) = (-2,1)

y-1 = 3(x +2)

Since your question specified using the point-slope form, make sure you use this equation when answering it. Otherwise, you may get it wrong.