graph the equation ( y = -\frac{3}{4}x + 1 ).

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{3}{4}x + 1), when (x = 0), (y=1). So one point is ((0,1)).

Step2: Use the slope to find another point

The slope (m=-\frac{3}{4}). From the point ((0,1)), using the slope formula (m=\frac{\Delta y}{\Delta x}), if (\Delta x = 4), then (\Delta y=- 3). So another point is ((4,1 - 3)=(4,-2)).

Step3: Plot the points and draw the line

Plot the points ((0,1)) and ((4,-2)) on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points ((0,1)) and ((4,-2)) and draw a straight line through them to graph (y =-\frac{3}{4}x + 1).