Find the slope of the line that passes through (-95, 31) and (-94, 6).
Accepted Solution
A:
Answer:The slope of the line that passes through (-95, 31) and (-94, 6) is -25.Step-by-step explanation:The equation of a line has the following format:[tex]y = ax + b[/tex]In which a is the slope.Passes through the point (-95, 31). When [tex]x = -95, y = 31[/tex][tex]y = ax + b[/tex][tex]31 = -95a + b[/tex]Passes through the point (-94, 6). When [tex]x = -94, y = 6[/tex][tex]y = ax + b[/tex][tex]6 = -94a + b[/tex]We have to solve the following system:[tex]31 = -95a + b[/tex][tex]6 = -94a + b[/tex]We want to find a.From the first equation[tex]b = 31 + 95a[/tex]Replacing in the second equation:[tex]6 = -94a + 31 + 95a[/tex][tex]a = -25[/tex]The slope of the line that passes through (-95, 31) and (-94, 6) is -25.