3-1/2y=8x what is the slope and y-intercept

First, solve for y.

3-(1/2)y = 8x
(-1/2)y = 8x - 3
multiply each side by -2 to get y by itself
(-2)(-1/2)y = -2(8x - 3)
y = -16x + 6

so, using the formula
y = mx + b where m= slope and b= y-int.
the slope is -16, and the y-int. is 6

thanks

To determine the slope and y-intercept of the equation 3-1/2y = 8x, we need to rearrange the equation into the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Step 1: Isolate the variable y by subtracting 3 from both sides of the equation:

3 - 1/2y = 8x - 3

-1/2y = 8x - 3 - 3

-1/2y = 8x - 6

Step 2: Divide the entire equation by -1/2 to solve for y:

y = (8x - 6) / (-1/2)

y = (8x - 6) * (-2/1)

y = -16x + 12

Now, the equation is in the slope-intercept form, y = mx + b. By comparing the equation with the slope-intercept form, we can determine the slope (m = -16) and the y-intercept (b = 12).

Therefore, the slope of the equation 3 - 1/2y = 8x is -16, and the y-intercept is 12.