graph the line that passes through the points (0,7) and (5,3) and determine the equation of the line.
graph the line that passes through the points (0,7) and (5,3) and determine the equation of the line.
Answer
Explanation:
Step1: Find the slope
The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Given ((x_1,y_1)=(0,7)) and ((x_2,y_2)=(5,3)), then (m=\frac{3 - 7}{5 - 0}=\frac{-4}{5}).
Step2: Use the slope - intercept form
The slope - intercept form is (y = mx + b). We know (m=-\frac{4}{5}) and from the point ((0,7)), (b = 7). So the equation is (y=-\frac{4}{5}x + 7).
Answer:
The equation of the line is (y =-\frac{4}{5}x+7).