complete the equation of the line through (3, -1) and (4, 7). use exact numbers. y =
complete the equation of the line through (3, -1) and (4, 7). use exact numbers. y =
Answer
Explanation:
Step1: Find the slope (m)
The slope formula between two points ((x_1, y_1)) and ((x_2, y_2)) is (m=\frac{y_2 - y_1}{x_2 - x_1}). Here, ((x_1,y_1)=(3, - 1)) and ((x_2,y_2)=(4,7)). So (m=\frac{7-(-1)}{4 - 3}=\frac{7 + 1}{1}=8).
Step2: Use point - slope form to find the equation
The point - slope form of a line is (y - y_1=m(x - x_1)). We can use the point ((3,-1)) and (m = 8). Substitute these values into the formula: (y-(-1)=8(x - 3)). Simplify this equation: (y + 1=8x-24). Then, subtract 1 from both sides to get (y = 8x-25).
Answer:
(8x - 25)