Slope-intercept form: y = mx + b (m = slope and b = y-intercept).
Since we are given the slope we only need to solve for the y-intercept. (Subsituting x and y with 2, -6 and solving for b.)
y = -34x + b
-6 = -34(2) + b
-6 = -68 + b
-6 + 68 = -68 + 68 + b
62 = b
Now, that we know what the y-intercept is we can put this into the final equation.
y = -34x + 62
Best of Luck!
