Question

IHave Like 20 Of These Same problems..
Can You Help Me With These?..
1. Slope = 3/2 and passes through the origin.
Wiriting equations..

2. x-intercept = 4 and y-intercept = -3

3. Passes through (3, 2) and is parallel to 2x-y=4

4. Passes through (-1, -1) and is perpendicular to y=(5/2)x+3

Answer 1

1. given slope, passes through origin:
y=mx
here m=3/2

2. given x-intercept=a, y-intercept=b
y=-(b/a)x + b
here a=4, b=-3

3. Given point (x0,y0) on line and slope m:
y-y0=m(x-x0)
(x0,y0)=(3,2)
m=2 (coefficient of x in given line)

4. Given point (x0,y0) on line, and perpendicular to slope m
Given slope m=5/2,
slope of perpendicular m'= -1/m = -2/5
(x0,y0)=(-1,-1)
Line: (y-y0)=m'(x-x0)
Slope m = 2