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Damm [24]
3 years ago
7

Write an equation in point-slope form of the line that passes through the given point and with the given slope m.

Mathematics
1 answer:
eimsori [14]3 years ago
6 0

Answer:

y=7x+22

Step-by-step explanation:

the equation of a line is y=mx+b

we know that 7 is m so

y=7x+b

but we got to find b

so we use the point (-3,1) and substitute in our equation

1=7(-3)+b

lets find b

1= -21+b

22=b

okay then we found b now lets go to our original problem and substitute b

y=7x+22

I hope this helped you :)

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Answer:

The graph shows the solution of the inequality y > \frac{4}{3} x - 2 ⇒ D

Step-by-step explanation:

In the inequality,

  • If the sign of inequality is ≤ or ≥, then the line that represents it must be a solid line
  • If the sign of inequality is < or >, then the line that represents it must be a dashed line
  • If the sign of inequality is > or ≥, then the shaded area must be over the line
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From the given graph

∵ The slope of the line = \frac{2--6}{3--3} = \frac{2+6}{3+3} = \frac{8}{6} = \frac{4}{3}

∵ The y-intercept is (0, -2)

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→ By using the 2nd and 3rd notes above, the line is dashed and

   the sign of inequality is >

∴ The inequality is y > \frac{4}{3} x - 2

∴ The graph shows the solution of the inequality y > \frac{4}{3} x - 2

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