Answer:
Part A) The slope is [tex]m=-\frac{1}{2}[/tex]
Part B) The equation of the line is [tex]y=-\frac{1}{2}x-1[/tex]
Step-by-step explanation:
Part A) What is the slope of the graph?
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Looking at the graph it takes any two points
(-2,0) and (0,-1)
substitute the values in the formula
[tex]m=\frac{-1-0}{0+2}[/tex]
[tex]m=\frac{-1}{2}[/tex]
[tex]m=-\frac{1}{2}[/tex]
Part B) Write an equation for the line
we know that
The equation of the line in slope intercept form is
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
we have
[tex]m=-\frac{1}{2}[/tex]
[tex]b=-1[/tex] ----> the y-intercept is the point (0,-1)
substitute
[tex]y=-\frac{1}{2}x-1[/tex]
