I need help with four specific slope problems: write an equation of the line in slope intercept form that has the following conditions

Question

!.) Passes through (3,-4) and has a slope of 2/3

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

3.) Passes through (1.5) and (3,4)

4.) Has a y intercept of 6 and a x intercept with 2

Answer 1

Jessenia,

1. y+4=(2/3)(x-3) simplifying we get y=(2/3)x-2 (y=mx+b is the point intercept form)
2. y-2-(-1/2)(x+3) simplifying y=(-1/2)x-2
3. calculate the slope m=(5-4)/(1-3)=-1/2 pick either point and use the point slope form y-5=(-1/2)(x-1) simplifying y=(-1/2)x+(11/2)
4. This is done in the same way as #3 except the two points are (0,6) and (2,0) use these two point to calculate the slope.....

Hope this helps