Answer:
Part 1) The equation of the line is [tex]y=-7x+8[/tex]
Part 2) The graph in the attached figure
Step-by-step explanation:
Part 1)
Find the equation of the line
we know that
The equation of a line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
In this problem we have
[tex]m=-7[/tex]
[tex]b=8[/tex]
substitute
[tex]y=-7x+8[/tex]
Part 2)
Graph the line
Find the intercepts
The y-intercept is the point [tex](0,8)[/tex] -----> given value
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]0=-7x+8[/tex]
[tex]7x=8[/tex]
[tex]x=8/7=1.143[/tex]
The x-intercept is the point [tex](1.143,0)[/tex]
To graph the line plot the intercepts
see the attached figure
