How do you find the slope given (7, 2) and (9, 6)?

3 Answers
Jun 14, 2018

#2#

Explanation:

Slope is given by the formula

#(Deltay)/(Deltax)#

Where #Delta# is the Greek letter Delta that means "change in". We just have to see how much our #y# changes, how much our #x# changes, and divide the two. We get

#Deltay=6-2=color(blue)(4)#

#Deltax=9-7=color(blue)(2)#

Plugging these into our expression for slope, we get

#4/2=2#

Thus, our slope is #2#.

Hope this helps!

Jun 14, 2018

See a solution process below:

Explanation:

The formula for find the slope of a line is:

#m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

Where #(color(blue)(x_1), color(blue)(y_1))# and #(color(red)(x_2), color(red)(y_2))# are two points on the line.

Substituting the values from the points in the problem gives:

#m = (color(red)(6) - color(blue)(2))/(color(red)(9) - color(blue)(7)) = 4/2 = 2#

Jun 14, 2018

#"slope "=2#

Explanation:

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

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

#"let "(x_1,y_1)=(7,2)" and "(x_2,y_2)=(9,6)#

#m=(6-2)/(9-7)=4/2=2#