find the equation of the line in slope intercept form 1 mund

find the equation of the line in slope intercept form.

1. m=undefined through (2,7)
2.through (0,7)and (5,-3
3. perpendicular to 3x-y=1, through (2,5)

solution

m= undefined through (2,7)

A line with undefined slope is vertical. It will always be of the form x =a, in which a is the x coordinate for the given point. The equation is

x=2

through (0,7)and (5,-3)

m= y2-y1/x2-x1

m= -10/5=-2

We now make use of the slope-intercept equation, but in a slightly different form. Because y =mx + b, we can write

b= y -mx

now letting x=0 y=7

b= 7+2*0= 7

y=mx+b

y=-2x+7

y+2x=7

perpendicular to 3x-y=1, through (2,5)

the slopes of perpendicular lines are negative reciprocals of each other

3x-y=1

y=3x-1

m= 3, b=-1

slope of perpendiculer line m\'= -3

y-y1=m(x-x1)

y-5=-3(x-2)

y-5=-3x+6

y+3x= 11