What is the equation of the line that passes through the point (-3,7) and has a slope of 1/3

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.