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

##### 1 Answer

May 10, 2018

#### 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]}