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2 years ago

The slope of the line that contains the points (-2, 10) and (3, -5) is -3. What is the y-intercept?

Mathematics

1 answer:

Paladinen [302]2 years ago

7 0

Answer:

The y-intercept of this line is (0, 4)

Step-by-step explanation:

Given that the slope of this line is -3, we know the general form of its equation is y = -3x + b. Arbitrarily choosing the first point, (-2, 10), and substituting -2 for x and 10 for y, we find the y-intercept as follows:

10 = -3(-2) + b, or

10 = 6 + b, or

b = 4 (Answer C)

The y-intercept of this line is (0, 4)

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attashe74 [19]

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2 years ago

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Option D: Two irrational solutions

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The equation is $17+3 x^{2}=6 x$

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$x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}$

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$\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}$

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2 years ago

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