Answer:
y = (3/4)x - 31/4
Explanation:
Slope intercept form formula: y=mx+b
Given that the line passes through the point (5, -4) and has a slope of 3/4, you can substitute these values into the equation to find the y-intercept (b).
Using the point-slope form of the equation: (y - y₁) = m(x - x₁)
You have: (y - (-4)) = (3/4)(x - 5)
Simplifying, you get: y + 4 = (3/4)(x - 5)
Expanding, you get: y + 4 = (3/4)x - (15/4)
Rearranging the equation to the slope-intercept form, you subtract 4 from both sides: y = (3/4)x - (15/4) - 4
Simplifying further, you get: y = (3/4)x - 31/4
Therefore, the slope-intercept form of the equation of the line is y = (3/4)x - 31/4.