A line passes through the point (10,-1) and has a slope of -1/2

Question

A line passes through the point (10,-1) and has a slope of -1/2

0

Answers ( No )

    0
    2021-09-19T02:56:47+00:00

    Hi there!

    I’m guessing you want to know what the equation of the slope-intercept line is.

    The general equation for the slope-intercept line looks like this:

    y = mx + b

    Where “m” is the slope and “b” is the y-intercept.

    Since we know what the slope is and we have the coordinates of a point, you can replace the slope and the value of the coordinates “x” & “y” in the equation and solve for “b” in order to find the whole equation :

    y = mx + b

    -1 = -1/2(10) + b

    subtract “b” from each side of the equation

    -1 – b = -1/2(10)

    Add 1 to each side of the equation

    -b = -1/2(10) + 1

    -b = -5 + 1

    -b = -4

    Divide each side of the equation by -1

    b = 4

    Since you now know the value of “b” you can go ahead and write the slope-intercept equation with the slope in it and the y-intercept value also (b) :

    y = -1/2 + 4

    There you go! I really hope this helped, if there’s anything just let me know! 🙂

Leave an answer

Browse
Browse