Home > Algebra > Write an Equation Given the Slope and a Point

The points (4,1) and (2,3) are on a line. What is the slope of the line?

Answer 1

Abigail Allen

#"slope "=-1#

#"calculate the slope m using 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)=(4,1)" and "(x_2,y_2)=(2,3)#

#rArrm=(3-1)/(2-4)=2/(-2)=-1#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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