What is the equation of the line that passes through the points (2, 4) and (3,9)?

2 Answers
Jun 11, 2018

5

Explanation:

Use (y_2-y_2)/(x_2-x_1)

(4-9)/(2-3) = (-5)/-1

=5

Jun 11, 2018

y=5x-6

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"

"to calculate m use the "color(blue)"gradient formula"

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

"let "(x_1,y_1)=(2,4)" and "(x_2,y_2)=(3,9)

m=(9-4)/(3-2)=5/1=5

y=5x+blarrcolor(blue)"is the partial equation"

"to find b substitute either of the 2 given points"
"into the partial equation"

"using "(2,4)" then"

4=10+brArrb=4-10=-6

y=5x-6larrcolor(red)"is the equation of line"