# What is the slope-intercept form of the line passing through # (-1, 4) # and # (-4, 1) #?

##### 1 Answer

May 27, 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)=(-1,4)" and "(x_2,y_2)=(-4,1)#

#m=(1-4)/(-4-(-1))=(-3)/(-3)=1#

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

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

#"the partial equation"#

#"using "(-4,1)" then"#

#1=-4+brArrb=1+4=5#

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