Question

write the slope intercept form of equation of line throug the given point a)parallel to b)perpendicular to given line
1) 4x-2y:3. (point 2,1)
2)x+y:7 point(-3,2)
​

Answer 1

This might not be right

 one is y= 2x-3 and number two is y=-x-1

1) first you convert 4x-2y=3 into slope intercept form

y= 2x+ 3/2

then you change 3/2 to b

y=2x + b

then you plug in the point 2,1

(1)=2(2) + b

1=4+b

-3=b

after that you change the b in y=2x+b to -3

y=2x-3

2) after you convert it into slope intercept form (y=1x+b)

you have to change the x to a negative x because the line is perpendicular

y= -1x + b

then you plug in the point -3,2

2= -1(-3) + b

2= 3 + b

-1 = b