How do you graph the line containing the given pair of points and find the slope (1, 5), (-6, -5)?

Question

Nathan Axel · Accepted Answer

See a solution process below:

To graph the line going through the two points, we plot the two points and then draw a line through the points:

The slope is #m = 10/7#

We can validate this using the formula for slope. 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.

Substituting the values from the points in the problem gives:

#m = (color(red)(-5) - color(blue)(5))/(color(red)(-6) - color(blue)(1)) = (-10)/(-7) = 10/7#

Abigail Allen · Answer

undefined To graph the line containing the given pair of points (1, 5) and (-6, -5), you first find the slope using the formula $ \text{slope} = \frac{{\text{change in }} y}{{\text{change in }} x}} $. Once you have the slope, you can use one of the points and the slope to find the equation of the line in slope-intercept form $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept. Then, you can plot the two points on the coordinate plane and draw a straight line passing through them to graph the line.