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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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Sveta_85 [38]

Answer:

\quad x=\frac{3}{2}

Step-by-step explanation:

7\left(6-3\right)=21, \mathrm{Expand\:}5\left(x+3\right)-21+29:\quad5x+23, \mathrm{Expand\:}50-3\left(8-x\right):\quad 3x+26, Subtract 23 and 3x from both sides and simplify: 2x=3, Divide both sides by 2 and simplify: x=\frac{3}{2}

<em>Hope this helps!!!</em>

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Answer:

See ecplanation below

Step-by-step explanation:

False.

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Answer:

Step-by-step explanation:

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Because y  <  x - 3  involves the inequality symbol <, draw a dashed line, not a solid line.   The solution set consists of all points on the graph BELOW this dashed line y  <  x - 3.

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Step-by-step explanation:

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