What is the y-intercept of a line that has a slope of 3 and passes through point (–1, –7)?

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What is the y-intercept of a line that has a slope of 3 and passes through point (–1, –7)?

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Ngọc Khuê 5 years 2021-08-16T02:19:13+00:00 1 Answers 21 views 0

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  1. thanhha
    0
    2021-08-16T02:20:20+00:00
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    Answer:

    the y intercept is -4 (as a point it is (0,-4))

    Step-by-step explanation:

    Hi there!

    We are given a slope (m) of 3 and the point (-1,-7).

    We need to find the y intercept of the line that has the slope of 3 and passes through (-1,-7)

    One way to find the y intercept is to write the equation of the line in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

    Since we are given the slope, we can immediately substitute it into the equation

    Here it is so far:

    y=3x+b

    now we need to find b (the y intercept)

    since the line passes through the point (-1,-7), we can use it to solve for b

    substitute -1 as x and -7 as y into the equation

    -7=3(-1)+b

    multiply

    -7=-3+b

    add 3 to both sides

    -4=b

    so the y intercept is -4 . If you need it as a point, its (0,-4) as the y intercept is the point where the equation passes through the y axis, so the value of x is 0.

    Hope this helps! 🙂

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