graph the line with the equation $y = -\\frac{1}{4}x + 5$.
graph the line with the equation $y = -\\frac{1}{4}x + 5$.
Answer
Explanation:
Step1: Find the y - intercept
The equation is in slope - intercept form (y = mx + b), where (b) is the y - intercept. For (y=-\frac{1}{4}x + 5), when (x = 0), (y=5). So, one point on the line is ((0,5)).
Step2: Use the slope to find another point
The slope (m=-\frac{1}{4}). From the point ((0,5)), using the slope formula (m=\frac{\Delta y}{\Delta x}), if (\Delta x = 4) (run), then (\Delta y=- 1) (rise). So, another point is ((0 + 4,5-1)=(4,4)).
Step3: Draw the line
Plot the points ((0,5)) and ((4,4)) on the coordinate plane and draw a straight line passing through them.
Answer:
Plot the points ((0,5)) and ((4,4)) and draw a line through them to graph (y =-\frac{1}{4}x + 5).