what is the equation for the line that passes through the points (4,2) and (0,6)?

Question

what is the equation for the line that passes through the points (4,2) and (0,6)?

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Ayla 2 weeks 2021-10-12T08:05:10+00:00 1 Answer 0

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    2021-10-12T08:06:14+00:00

    Answer:

    The equation is y=-x+6.

    Step-by-step explanation:

    To find the slope of this equation, we use the equation m=y2-y1/x2-x1, where m is the slope. Take one y coordinate and subtract it from the other and do the same with the x coordinates. Then, divide the difference of the y coordinates by the difference of the x coordinates. For example, 6-2/0-4. This gets us 4/-4. You can also do 2-6/4-0 which gets us -4/4. No matter what, we get -1 for each (we don’t include the 1 in front of the x). To find the y-intercept, plug in the coordinates. For example, do 6=0(-1)+b or 2=4(-1)+b. No matter which you use, you get an answer of b=6. This gives you an equation of y=-x+6. Hope this helps 🙂

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