Passing through (-3,8) and (-4,0)

Question

write the equation of line in slope- intercept form 

Answer 1

Hi Zach,

 

Let's begin by writing the slope-intercept form of the equation of a line:

    y = mx + b (m is slope and b is y-intercept)

 

Next, let's find the slope (m) by finding the quotient of the difference in the given y coordinates divided by the difference in the given x coordinates:

    m = (0 - 8) / (-4 - (-3))

    m = -8 / (-4 + 3)

    m = -8 / -1

    m = 8

 

Next, let's find the y-intercept (b) by plugging in the coordinates of one of our given points (2nd point is easier for calculation) and the slope (m) to solve for the y-intercept (b)

    y = mx + b (slope-intercept form)

        m = 8 

        (x,y) = (-4,0)

    0 = (8)(-4) + b

    0 = -32 + b

    b = 32

 

Finally, we'll plug in our values for the slope (m) and the y-intercept (b) to get our equation:

    y = mx + b (slope intercept form)

        m = 8

        b = 32

    y = 8x + 32 [equation of line passing through

                           points (-3.8) and (-4,0)]

 

Thanks for submitting this problem and glad to help.

 

God bless, Jordan.