What is the equation of the line passing through (0,-12)(0,−12) and (8,72)(8,72)?
1 Answer
Jun 11, 2018
Explanation:
"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
"to calculate m use the "color(blue)"gradient formula"to calculate m use the gradient formula
•color(white)(x)m=(y_2-y_1)/(x_2-x_1)∙xm=y2−y1x2−x1
"let "(x_1,y_1)=(0,-12)" and "(x_2,y_2)=(8,72)let (x1,y1)=(0,−12) and (x2,y2)=(8,72)
m=(72-(-12))/(8-0)=84/8=21/2m=72−(−12)8−0=848=212
"note that "b=-12to(0,color(red)(-12))note that b=−12→(0,−12)
y=21/2x-12larrcolor(red)"is the equation of the line"y=212x−12←is the equation of the line
