Question

How do you find the slope and intercept of `2x+9 = 3/2`?

Answer 1

`"slope is undefined"`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`2x+9=3/2larrcolor(blue)"is not in this form"`

`"subtract 9 from both sides and divide by 2"`

`2x=3/2-9=3/2-18/2=-15/2`

`rArrx=-15/4`

`"the line with equation "color(red)(bar(ul(|color(white)(2/2)color(black)(x=c)color(white)(2/2)|)))`

`"is a special case in that it is a vertical line parallel to"`
`"the y-axis and passing through all points with an"`
`"x-coordinate equal to c"`

`rArr"slope is undefined"`

`"and x-intercept "=-15/4`
graph{y-1000x-3750=0 [-10, 10, -5, 5]}