How would you find the slope of the line passing through points (-2, 1) and (2, 2)?

Question

Hazel Anglin · Accepted Answer

See the solution process below:

The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))# Where #m# is the slope and (#color(blue)(x_1, y_1)#) and (#color(red)(x_2, y_2)#) are the two points on the line. Changing the values from the problem's points yields: #m = (color(red)(2) - color(blue)(1))/(color(red)(2) - color(blue)(-2)) = (color(red)(2) - color(blue)(1))/(color(red)(2) + color(blue)(2)) = 1/4#

Eva Adamson · Answer

#"slope "=1/4# #"calculate the slope 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)|)))# where m represents the slope and # (x_1,y_1),(x_2,y_2)" are 2 coordinate points"# #"the 2 points here are " (-2,1)" and " (2,2)# #"let " (x_1,y_1)=(-2,1)" and " (x_2,y_2)=(2,2)# #rArrm=(2-1)/(2-(-2))=1/4#

Kennedy Adams · Answer

undefined To find the slope of the line passing through points (-2, 1) and (2, 2), you can use the slope formula: slope = (y2 - y1) / (x2 - x1). Plug in the coordinates of the points: slope = (2 - 1) / (2 - (-2)). Simplify to find the slope.