In a standard coordinate plane, what is the y-intercept of a line that passes through the points (3,17) and (5, 29)?
1 Answer
Apr 21, 2018
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)=(3,17)" and "(x_2,y_2)=(5,29)#
#rArrm=(29-17)/(5-3)=12/2=6#
#rArry=6x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into"#
#"the partial equation"#
#"using "(3,17)" then"#
#17=18+brArrb=17-18=-1#
#rArry=6x-1larrcolor(red)"in slope-intercept form"#
#rArrb=" y-intercept "=-1#
