Graph the equation 9−x=32y using slope-intercept form.(1 point)

Answer 1

The equation 9 - x = 32y can be written in slope-intercept form, y = mx + b, by isolating y:

9 - x = 32y
-x = 32y - 9
-x/32 = y - 9/32
y = -x/32 + 9/32

The slope, m, is -1/32 and the y-intercept, b, is 9/32.

To graph this equation, start by plotting the y-intercept, which is the point (0, 9/32). Then, use the slope to find additional points on the line. Since the slope is -1/32, you can use the rise over run method to find other points.

If the slope is -1/32, this means that for every increase of 1 in the x-coordinate, the y-coordinate decreases by 1/32. So, starting from the y-intercept (0, 9/32), you can move 1 unit to the right and 1/32 unit down to get the next point.

Plot these points and draw a straight line through them. The graph of the equation y = -x/32 + 9/32 will be a line that passes through the y-intercept (0, 9/32) and has a negative slope.