How do you find the slope of (-1, -5) and (-4, -5)?

Question

Nathan Axel · Accepted Answer

See a 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)(-5) - color(blue)(-5))/(color(red)(-4) - color(blue)(-1)) = (color(red)(-5) + color(blue)(5))/(color(red)(-4) + color(blue)(1)) = 0/-3 = 0# A line with a slope of #0# is, by definition, a horizontal line. This can be seen in this problem because the #y# value for both points are the same: #-5#

Kennedy Adams · Answer

#m=0# If line passing through two different points #A(x_1,y_1)andB(x_2,y_2), then#,slop of #l# is #color(red)(m=(y_2-y_1)/(x_2-x_1))#,where,#x_1!=x_2#. Here,#A(-1,-5),andB(-4,-5)# #m=((-5)-(-5))/((-4)-(-1))=0/-3=0# Note: #y_1=y_2rArrl# ,is passing through y=-5,and #l# is // to #X-#axis.So, the slop of #l,is# .0

Abigail Allen · Answer

undefined To find the slope given the points (-1, -5) and (-4, -5), use the formula for slope:

$$ m = \frac{y_2 - y_1}{x_2 - x_1} $$

Substitute the coordinates into the formula:

$$ m = \frac{-5 - (-5)}{-4 - (-1)} $$

$$ m = \frac{-5 + 5}{-4 + 1} $$

$$ m = \frac{0}{-3} $$

$$ m = 0 $$