# What is equation of the line in standard form that passes through (2, 7) and ( -4, 1)?

##### 2 Answers

#### Explanation:

First, find the slope of the equation using

Second, plug in m (the slope) into the equation

So it becomes

Plug in one of the points into the

So,

Finally, plug in the

#### Explanation:

#"the equation of a line in "color(blue)"standard form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))#

#"where A is a positive integer and B, C are integers"#

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#â€¢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(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#

#"let "(x_1,y_1)=(2,7)" and "(x_2,y_2)=(-4,1)#

#rArrm=(1-7)/(-4-2)=(-6)/(-6)=1#

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

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

#"partial equation"#

#"using "(2,7)" then"#

#7=2+brArrb=7-2=5#

#rArry=x+5larrcolor(red)"in slope-intercept form"#

#rArrx-y=-5larrcolor(red)"in standard form"#