Mathematics

Question

through: (-1, 0), parallel to y = 3x

2 Answer

  • y = mx + b

    m = slope

    b = y-intercept

    Since it is parallel to the equation y = 3x it means that the equation that goes through point (-1, 0) has the same slope (3x)

    To find the b plug the x and y of point (-1, 0) into the equation: y = 3x + b then solve for b

    0 = 3(-1) + b

    0 = -3 + b

    0 + 3 = (-3 + 3) + b

    3 = b

    so...

    y = 3x + b

    Hope this helped and made sense!

    ~Just a girl in love with Shawn Mendes

  • Answer:

    y = 3x - 3

    Step-by-step explanation:

    Since our line is parallel to y = 3x, our slope should be 3. We also have the points (-1, 0).

    From here, we can use the point-slope form (how convenient):

    y - y₁ = m(x - x₁), where (x₁, y₁) is the given coordinate on the line, and m is the slope of the line

    Plug in: y - 0 = 3(x - 1)

    We could leave it here, but we should convert this line into the more commonly-seen slope-intercept form.

    Distribute: y - 0 = 3x - 3

    Identity: y = 3x - 3

NEWS TODAY