question\nwhat is an equation of the line that passes through the points (0, -8) and (4, -3)?
question\nwhat is an equation of the line that passes through the points (0, -8) and (4, -3)?
Answer
Explanation:
Step1: Find the slope
The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(0,-8)) and ((x_2,y_2)=(4,-3)). Then (m=\frac{-3-(-8)}{4 - 0}=\frac{-3 + 8}{4}=\frac{5}{4}).
Step2: Use the slope - intercept form
The slope - intercept form of a line is (y=mx + b). We know that (m=\frac{5}{4}) and when (x = 0), (y=-8) (so (b=-8)). Substituting (m) and (b) into the equation, we get (y=\frac{5}{4}x-8).
Answer:
(y=\frac{5}{4}x - 8)