How do you write an equation in point slope form that passes through (-2,-4),m=3/4?

Question

3623 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-31T00:43:52

Equation of the line:# y = 3x/4 + b#

Find b by writing that this line passes at point (-2, -4)

#-4 = (3(-2))/4 + b -> b = -4 + 3/2 = -5/2#

y = 3x/4 - 5/2

Answer 2 · 2015-05-31T00:48:52

The point-slope equation is #y+4=3/4(x+2)#

The general equation for point-slope form is #y-y_1=m(x-x_1)# .

Given/Known:

Slope = #3/4#

Point = #(-2,-4)#

#x_1=-2#
#y_1=-4#

Substitute the given/known values into the point-slope equation.

#y-y_1=m(x-x_1)# =

#y-(-4)=3/4(x-(-2))# =

#y+4=3/4(x+2)#