SOLUTION: Really just caught on these two: Write the equation of the line which passes through (-4, 2) and is parallel to y = -x + 6 in slope-intercept form. Write the equation of the li

Question 757922: Really just caught on these two:
Write the equation of the line which passes through (-4, 2) and is parallel to y = -x + 6 in slope-intercept form.
Write the equation of the line which passes through (2, -3) and is perpendicular to y = 4x + 7 in standard form.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
y = -x + 6
Gradient = -1
Lines parallel to one another
have the same gradients (m)
m1 = m2
Using y - b = m(x - a) with Coords (-4,2)
y - 2 = -1(x -(-4)
y - 2 = -1(x + 4)
y - 2 = -x - 4
y = -x -4 + 2
y = -x - 2
y = 4x + 7
Gradient = 4
Lines perpendicular to one
another have gradients that
multiply together to give -1
m1 x m2 = -1
So second gradient = -1/4
4 x -1/4 = -1
Using y - b =m(x - a)with Coords (2,-3)
y - (-3) = -1/4(x - 2)
y + 3 = -1/4x + 1/2
y = -1/4x + 1/2 - 3
y = -1/4x - 5/2
OR
4y = -x - 10 (Multiplying by 4)
Hope this helps.
:-)

RELATED QUESTIONS
3.Write the equation of the line which passes through (�4, 2) and is parallel to y = �x + (answered by nyc_function)

Write the equation of the line which passes through (�4, 2) and is parallel to y = �x + 6 (answered by ewatrrr)

3.Write the equation of the line which passes through (�4, 2) and is parallel to y = �x + (answered by ewatrrr)

Write the equation of the line which passes through (0, -4) and is parallel to the line... (answered by mananth)

hey, i have two questions i really need some help on. i'm beyond lost and really need an... (answered by oscargut)

Find the equation of the line AB which passes through (3, 1) and is parallel to 4(y+6)=x (answered by Alan3354)

Write the equation of the line which passes through (5, �2) and is parallel to x = 4. (1... (answered by John10)

Write the equation of the line which passes through (5, �2) and is parallel to x =... (answered by sudhanshu_kmr)