How do you find the slope and intercept of #1/2x-9=0#?

Question

Genesis Allen · Accepted Answer

#"slope is undefined , x-intercept "=18" there is no y-intercept"# #color(red)(bar(ul(|color(white)(2/2)color(black)(x=c)color(white)(2/2)|))# #"is the equation of a vertical line parallel to the y-axis"# #"passing through all points in the plane with an"# #"x-coordinate of c"# #1/2x-9=0" is in this form"# #"add 9 to both sides and multiply by 2"# #rArr1/2x=9rArrx=18# #"since it is a vertical line, slope is undefined"# #"it has an x-intercept of 18 but no y-intercept"# graph{y-1000x+18000=0 [-20, 20, -10, 10]}

Eli Assouline · Answer

undefined To find the slope and intercept of the equation 1/2x - 9 = 0:

1. Rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
2. Solve for y to isolate it on one side of the equation.
3. Once the equation is in slope-intercept form, the coefficient of x will represent the slope, and the constant term will represent the y-intercept.

Here are the steps:

1/2x - 9 = 0
1/2x = 9

To isolate x, multiply both sides by 2:
2 * (1/2x) = 2 * 9
x = 18

Now, the equation is in the form x = 18, which is a vertical line passing through the point (18, 0).

Since it's a vertical line, the slope is undefined, and there is no y-intercept.