# How do you find equation of a line, L which passes through the point (3, -1) and parallel to the line which passes through the points (0,5) and (-2,-3)?

##### 1 Answer

Jul 31, 2018

#### Explanation:

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

#•color(white)(x)y=mx+c#

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

#"calculate m using the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(0,5)" and "(x_2,y_2)=(-2,-3)#

#m=(-3-5)/(-2-0)=(-8)/(-2)=4#

#• " Parallel lines have equal slopes"#

#y=4x+clarrcolor(blue)"is the partial equation"#

#"to find c substitute "(3,-1)" into the partial equation"#

#-1=12+crArrc=-1-12=-13#

#y=4x-13larrcolor(red)"equation of parallel line"#