Answer:
The slope of line that contain the points ( - 0.5 , 4 ) and has y- intercept of - 5 is -18
Step-by-step explanation:
Given as :
The points that satisfy the line is ( - 0.5 , 4 )
The y - intercept = - 5
The equation of line is
y = m x + c
Where m is the slope of line
∵ For y- intercept , c = - 5
Now, points on the line is ( - 0.5 , 4 ) and y intercept c = - 5 is
y = m x + c
or, 4 = m × ( - 0. 5 ) + ( - 5 )
Or, 4 = - 0. 5 m - 5
or, 4 + 5 = - 0.5 m
Or, 9 = - 0. 5 m
∴ m = [tex]\frac{-9}{0.5}[/tex]
So, Slope = m = - 18
Hence the slope of line that contain the points ( - 0.5 , 4 ) and has y- intercept of - 5 is -18 Answer