Please please explain how I can do these,
I really appreciate it because I don't understand this at all!
1. Write an equation of a line in slope intercept form that is parallel to the line x + 4y = 6 and passes through (-8, 5).
2. Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (2, 6).
Thank you!
I really appreciate it because I don't understand this at all!
1. Write an equation of a line in slope intercept form that is parallel to the line x + 4y = 6 and passes through (-8, 5).
2. Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (2, 6).
Thank you!
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1)Find the slope of the line x + 4y = 6
4y=-x+6
y=(-1/4)x+3/2 the slope =-1/4
The other line's slope=-1/4
y-y1=m(x-x1)
y-5=(-1/4)(x+8)
y-5=(-1/4)x-2 add 5 to each side
y=(-1/4)x+3
2) Find the slope of 2x -3y = 12
-3y=-2x+12 divide both sides by -3
y=(2/3)x - 4
The slope of the other line is -3/2
y-y1=m(x-x1)
y-6=(-3/2)(x-2)
y-6=(-3/2)x+3 add 6 to each side
y=(-3/2)x+9
4y=-x+6
y=(-1/4)x+3/2 the slope =-1/4
The other line's slope=-1/4
y-y1=m(x-x1)
y-5=(-1/4)(x+8)
y-5=(-1/4)x-2 add 5 to each side
y=(-1/4)x+3
2) Find the slope of 2x -3y = 12
-3y=-2x+12 divide both sides by -3
y=(2/3)x - 4
The slope of the other line is -3/2
y-y1=m(x-x1)
y-6=(-3/2)(x-2)
y-6=(-3/2)x+3 add 6 to each side
y=(-3/2)x+9