graph the line.\ny = -\\frac{1}{4}x + 3

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 + 3), when (x = 0), (y=3). So the line crosses the y - axis at the point ((0,3)).

Step2: Find the x - intercept

Set (y = 0). Then (0=-\frac{1}{4}x + 3). Add (\frac{1}{4}x) to both sides: (\frac{1}{4}x=3). Multiply both sides by 4 to get (x = 12). So the line crosses the x - axis at the point ((12,0)).

Step3: Plot the points and draw the line

Plot the points ((0,3)) and ((12,0)) on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points ((0,3)) and ((12,0)) and draw a straight - line through them to graph (y =-\frac{1}{4}x+3).