hey guys! Please help this is an important homework grade and could bring me down a lot. If you help I would appreciate it so much. If answer is right I will mark you brainliest. Have a good night.
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Answer:
[tex]y = x - 8[/tex]
Step-by-step explanation:
Slope-intercept form is:
[tex]y = mx + b[/tex]
Where m = slope and b = y-intercept.
It is stated that the slope of the line is 1.
It is stated that the line includes the point (0, 8)
To find the y-intercept, we can just inverse the slope-intercept form to solve for b.
[tex]b =y-mx[/tex]
We know that the point (8, 0) falls on the line, so that's what we'll use for x and y.
Then, we just have to plug those numbers in, as well as the slope.
[tex]b = 0 - (1)(8)[/tex]
Simplify.
[tex]b = 0 - 8[/tex]
Simplify again.
[tex]b = -8[/tex]
Now, we know that b = -8.
All we have left is to plug the slope and y-intercept into the slope-intercept form.
[tex]y = x - 8[/tex]