Question

Please help don’t understand

Answer 1

Answer:

  y = 4/3(x +3)

Step-by-step explanation:

This sort of question is easily answered by making use of the point-slope form of the equation of a line:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

You are given (h, k) = (-3, 0) and m = 4/3. Putting those into the above form gives ...

  y -0 = 4/3(x -(-3))

  y = 4/3(x +3) . . . . . . point-slope form equation

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Additional comment

You can use the distributive property to eliminate the parentheses. That puts the equation into slope-intercept form.

  y = 4/3x +(4/3)(3)

  y = 4/3x +4 . . . . . . slope-intercept equation

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You may find it useful to remember some different forms of the equation for a line:

  y = mx +b . . . . . line with slope m and y-intercept b

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  ax +by = c . . . . standard form equation of a line, where a > 0, and a, b, c are mutually prime integers