cant any1 solve this ??

Question

Write the given in Point slope and slope intercept form .

point slope form > y-y1=m(x-x1)
slope intercept form > y=mx+b

a. points (1,-3) with x-intercept -1
b. x-intercept = 4 and y-intercept = 2

Answer 1

When you have an x-intercept, that is telling you the x value, and then y is 0.
a. The first pair of points are (1, -3) and (-1, 0).
The slope for these two is: (y2 - y1) / (x2 - x1)
(-1 -1) / (0 - -3) / (-1- 1) = -3 / 2
m = -3/2.

Point slope:
y + 3 = -3/2(x - 1)

Slope intercept:
y = -3/2x + 3/2 - 3
y = -3/2x - 3/2

Answer 2

a. m=(y2-y1)/(x2-x1)
here (x1,y1)=(1,-3) and (x2,y2)=(-1,0)
so m=3/(-1-1)=-3/2

point slope form : y+3=-(3/2)(x-1)
2y+6=-x+3
2y=3-x

slope intercept form : y=-(3/2)x-1

b) (x1,y1)=(4,0) and (x2,y2)=(0,2)
slope = (2-0)/(0-4)=-1/2
point slope form : y-0=-1/2(x-2)
y=-1/2(x-2)
slope intercept form : y=-1/2x+2