graph the equation $y = -\\frac{3}{2}x + 4$.
graph the equation $y = -\\frac{3}{2}x + 4$.
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{3}{2}x + 4), when (x = 0), (y=4). So one point is ((0,4)).
Step2: Find another point using the slope
The slope (m=-\frac{3}{2}). From the point ((0,4)), using the slope formula (m=\frac{\Delta y}{\Delta x}). If (\Delta x = 2), then (\Delta y=-3). So another point is ((0 + 2,4-3)=(2,1)).
Step3: Plot the points and draw the line
Plot the points ((0,4)) and ((2,1)) on the coordinate plane. Then draw a straight line passing through these two points.
Answer:
Plot the points ((0,4)) and ((2,1)) and draw a line through them to graph (y =-\frac{3}{2}x + 4).