Write equation of each line in slope intercept form

Question

passing through (-4,5) and (-2,0)

Answer 1

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

 

First find what m is equal to:

  the slope "m" is always defined as "the change in y over the change in x" or, in equation form:

    m= (y₂-y₁) / (x₂-x₁)

    m= (0-5) / (-2-(-4))

    m=  ^-5/₂

    

  If a point is (x,y) then:

    for (-4,5) y = 5

    for (-2,0) y = 0

 

Then find what b is using y=mx + b and plugging in the slope m= -5 / 2 and one of the points 

  5= (^_-5/₂)(-4) + b   

   b= 5- (^-5/₂) (-4)

    b= -5

 

 

If the equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept then the equation of the line passing through points (-4,5) and (-2,0) is:

   y= (^-5/₂)x - 5