Answer:
Part a) [tex]m=\frac{7}{5}[/tex]
Part b) The y-intercept is the point (0,7)
Part c) [tex]y=\frac{7}{5}x+7[/tex]
Step-by-step explanation:
Part a) What is the slope of the line?
looking at the graph take the intercepts
(0,7) and (-5,0)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{0-7}{-5-0}[/tex]
[tex]m=\frac{-7}{-5}[/tex]
[tex]m=\frac{7}{5}[/tex]
Part b) What is the y-intercept?
we know that
The y-intercept is the value of y when the value of x is equal to zero
looking at the graph
For x=0, y=7
therefore
The y-intercept is the point (0,7)
Part c) Write an equation for the line in slope-intercept form
The equation of a 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{7}{5}[/tex]
[tex]b=7[/tex]
substitute
[tex]y=\frac{7}{5}x+7[/tex]
