Answer:
y = 1/3 x + 8.
or in standard form:
x - 3y = -24.
Step-by-step explanation:
To answer this we use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Here we have m = 1/3 and (x1, y1) = (-3, 7), so:
y - 7 = 1/3(x - (-3))
y - 7 = 1/3( x + 3)
y - 7 = 1/3 x + 1
y = 1/3 x + 8 .
This is the slope-intercept form of the equation.
Converting to standard form, we first multiply by 3:-
3y = x + 24
- x + 3y = 24
x - 3y = -24.
