SOLUTION: Find the line equation for the x intercept of 4 and a y intercept of -7. I have the correct answer but my professor wants a more detailed explanation with slope formula and step by

Algebra ->  Equations -> SOLUTION: Find the line equation for the x intercept of 4 and a y intercept of -7. I have the correct answer but my professor wants a more detailed explanation with slope formula and step by      Log On


   

Question 1138710: Find the line equation for the x intercept of 4 and a y intercept of -7. I have the correct answer but my professor wants a more detailed explanation with slope formula and step by step details. I have submitted twice already and she wants more. Help!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x intercept 4
point (4, 0)

y intercept -7
point (0, -7)

The two points also will let you see, if not calculate, the slope for the line.
Go UP, from (0, -7) to (4, 0); vertical change is 7, and horizontal change is 4. Slope is 7%2F4.

You already know the y-intercept and can plug into slope-intercept equation form: y=mx+b
highlight%28y=%287%2F4%29x-7%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find the line equation for the x intercept of 4 and a y intercept of -7. I have the correct answer but my professor wants a more detailed explanation with slope formula and step by step details. I have submitted twice already and she wants more. Help!
Correct response:    x-intercept results in point: (4, 0)

                     y-intercept of - 7 results in the point: (0, - 7)

Slope formula:  

Using the slope-intercept form, or y = mx + b, and along with the y-intercept of - 7, we get: 

OR

Use the POINT-SLOPE formula: highlight_green%28matrix%281%2C3%2C+y+-+y%5B1%5D%2C+%22=%22%2C+m%28x+-+x%5B1%5D%29%29%29, along with any of the 2 stated points to get the same equation.