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Georgia [21]
3 years ago
14

Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0

Answer:

y=\frac{5}{7}x-5

Step-by-step explanation:

All lines in the plane are of the form

y = mx+b

<u><em>The intersection with the Y-axis is obtained by replacing x with 0 </em></u>

<u><em>The intersection with the X-axis is obtained by replacing y with 0 </em></u>

If we want that the Y-intercept = -5, then  

-5 = m(0)+b

So b = -5

Our temporal equation is then

y = mx-5

If we want that the X-intercept = 7, then  

0 = m(7)-5

7m = 5

m = 5/7

So our final equation is

y=\frac{5}{7}x-5

Attached is the graph of the line

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