How do you write the equation of the line with (1, 7) and (2, 10)?

1 Answer
Mar 31, 2018

#y=3x+4#

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)=(1,7)" and "(x_2,y_2)=(2,10)#

#rArrm=(10-7)/(2-1)=3/1=3#

#rArry=3x+blarrcolor(blue)"is the partial equation"#

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

#"using "(1,7)" then"#

#7=3+brArrb=7-3=4#

#rArry=3x+4larrcolor(red)"is the equation of line"#