What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of 34?

One way to find the slope-intercept form is to plug the given values into point-slope form, y - y_{1} = m (x - x_{1}), where x_{1} and y_{1} are the coordinate points and m is the slope. Then, you solve for y.

y - y_{1} = m (x - x_{1})   Plug in the values
  y - (-4) = 34 (x - 5)         Fix the minus negative four
     y + 4 = 34 (x - 5)         Use the Distributive Property
     y + 4 = 34x - 170        Subtract 4 from both sides
           y = 34x - 174

The slope-intercept form of the equation that passes through (5, -4) and has a slope of 34 is y = 34x - 174.