2 answers

What is the slope of the line through (-4,-1) and (2,-7) ?

Question:

What is the slope of the line through (-4,-1) and (2,-7) ?

Answers

#"slope "=-1#

Explanation:

#"to calculate the slope m use the "color(blue)"gradient formula"#

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

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

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

.

#-1#

Explanation:

We understand slope to be defined as

#(Deltay)/(Deltax)#, where the Greek letter Delta represents "change in".

We just need to figure out by how much our #y# changes, and how much our #x# changes, and divide the two.

We go from #x=-4# to #x=2#, so we can say #Deltax=6#.

We go from #y=-1# to #y=-7#, so we can say #Deltay=-6#.

Dividing the two, we get

#-1#

as our slope.

Hope this helps!

.

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