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4 years ago

Complete the table of values for y=2x+3

Mathematics

1 answer:

Elena-2011 [213]4 years ago

5 0

$y = - 2047 \\ x = - 10125$

Step-by-step explanation:

$y = 2x + 3 \\ x = - 2 - 10123 \\ x = - 10125 \\ y = 2( - 10125) + 3 \\ y = - 20520 + 3 \\ y = - 20247$

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Use the graph to find the slope and y-intercept to write the equation in slope-intercept form.

Fiesta28 [93]

Answer:

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

$y\ intercept = -1$

$y = -\frac{1}{2}x -1$

Step-by-step explanation:

Given

$(x_1,y_1) = (-2,0)$

$(x_2,y_2) = (0,-1)$

Required

Determine the slope and y intercept from graph

To calculate the slope, we have:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-1-0}{0 - (-2)}$

$m = \frac{-1}{0 +2}$

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

The y intercept is when $x = 0$

So,

$y\ intercept = -1$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives

$y = -\frac{1}{2}(x - (-2)) + 0$

$y = -\frac{1}{2}(x - (-2))$

$y = -\frac{1}{2}(x +2)$

$y = -\frac{1}{2}x -\frac{1}{2}*2$

$y = -\frac{1}{2}x -1$

<em>See attachment for graph</em>

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The answer is 16/10 = 40/25
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