"the equation of a line in "color(blue)"slope-intercept form"the equation of a line in slope-intercept form is.
color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))
"where m represents the slope and b, the y-intercept"
"to calculate the slope use the "color(blue)"gradient formula"
color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))
"where " (x_1,y_1),(x_2,y_2)" are 2 coordinate points"
"the 2 points here are " (2,0)" and " (4,-6)
"let " (x_1,y_1)=(2,0)" and " (x_2,y_2)=(4,-6)
rArrm=(-6-0)/(4-2)=(-6)/2=-3
rArry=-3x+b
"to find b, use either of the 2 given points"
"using " (2,0)" substitute into equation to find b"
rArr0=(-3xx2)+brArrb=6
rArry=-3x+6larrcolor(red)" is equation of line"
