Explanation:
what form should the equation have ?
I assume slope-intercept
y = ax + b
"a" being the slope, "b" being the y-intercept (the y value when x = 0).
but since we have the slope and a point, we can start with the point-slope form and transform it :
y - y1 = a(x - x1)
"a" is again the slope, (x1, y1) is the point.
so,
y - 7 = -5/3 × (x - -3) = -5/3 × (x + 3) = -5x/3 - 5
and therefore
y = -5x/3 + 2