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stepladder [879]
3 years ago
15

Write the point slope form of the equation of the line using the point (-4,-2)

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

y + 2 = \frac{5}{4} (x + 4)

Step-by-step explanation:

1) First, find the slope of the line. Take two points the line intersects and use them for the slope formula, \frac{y_2-y_1}{x_2-x_1}. We already know the line intersects (-4, -2). Just choose any one of the points you can see the line intersecting (in this case, I chose (0,3)) and plug in its values, too. Then solve:

\frac{(3)-(-2)}{(0)-(-4)} \\\frac{3+2}{0+4} \\\frac{5}{4}

So, the slope is \frac{5}{4}.

2) Now that you have the slope, plug in values for the point-slope formula, y - y_1 = m (x - x_1). In order to write a linear equation with it, the x_1, y_1, and m have to be substituted for with real values. The m represents the slope - which means that we should place \frac{5}{4} there. The x_1 and y_1 represent the x and y values of a point - and the questions wants us to use (-4, -2), so substitute -4 for x_1 and -2 for y_1:

y-(-2) = \frac{5}{4} (x - (-4))\\y + 2 = \frac{5}{4} (x + 4)\\

Thus, the answer is y + 2 = \frac{5}{4} (x + 4).

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