Answer:
y = 4/3(x +3)
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