Use the graph to find the x-intercept for the equation y + 2 = 2(x + 3).

Mathematics

1 answer:

Assoli18 [71]3 years ago

3 0

Answer:

The x-intercept is 2

Step-by-step explanation:

So what you would do is you would distribute the 2 to x and 3 to get the equation y+2=2x+6. Then you would subtract 2 from both sides and get y=2x+4. And because your m is your x-intercept you get the answer: 2.

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Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,

Tanzania [10]

Answer:

$y = -\frac{2}{5}\cdot x - 11$

Step-by-step explanation:

First, the slope is determined by using the following expression:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \frac{-7-(-9)}{-10 - (-5)}$

$m = -\frac{2}{5}$

The y-intercept is found by using the line equation, the slope and one point:

$y = m \cdot x +b$

$b = y - m\cdot x$

$b = -7 - \left(-\frac{2}{5}\right)\cdot (-10)$

$b = -11$

The equation of the line is:

$y = -\frac{2}{5}\cdot x - 11$

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Damm [24]

Step-by-step explanation:

Case 1 :

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