"the equation of a line in "color(blue)"slope-intercept form"the equation of a line in slope-intercept form is.
•color(white)(x)y=mx+b∙xy=mx+b
"where m is the slope and b the y-intercept"where m is the slope and b the y-intercept
2x+9=3/2larrcolor(blue)"is not in this form"2x+9=32←is not in this form
"subtract 9 from both sides and divide by 2"subtract 9 from both sides and divide by 2
2x=3/2-9=3/2-18/2=-15/22x=32−9=32−182=−152
rArrx=-15/4⇒x=−154
"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]}
