# How do you write the standard form of the equation given (-2,5) and slope -4?

##### 2 Answers

#### Explanation:

The given values of

Substitute these values to find the value of

The required equation is:

#### Explanation:

#"the standard form of the equation of a line 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.

#"we can establish the equation in "color(blue)"slope-intercept form"#

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"here "m=-4#

#rArry=4x+blarr" partial equation"#

#"to find b substitute "(-2,5)" into the equation"#

#5=8+brArrb=-3#

#rArry=-4x-3larrcolor(red)" in slope-intercept form"#

#rArr4x+y=-3larrcolor(red)" in standard form"#