Answer:
Part 1) The x-intercept is the point (-5,0)
Par 2) The y-intercept is the point (0,-17.5)
Step-by-step explanation:
step 1
Find the x-intercept
we know that
The x-intercept is the value of x when the value of y is equal to zero
Observing the table
For x=-5, y=0
therefore
The x-intercept is the point (-5,0)
step 2
Find the equation of the line
Find the slope m
we have
(-7,7) and (-5,0)
[tex]m=(0-7)/(-5+7)\\ m=-3.5[/tex]
Find the equation of the line into point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-3.5[/tex]
point (-5,0)
substitute
[tex]y-0=-3.5(x+5)[/tex]
[tex]y=-3.5(x+5)[/tex]
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
For x=0
[tex]y=-3.5(0+5)[/tex]
[tex]y=-17.5[/tex]
therefore
The y-intercept is the point (0,-17.5)
