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Mademuasel [1]
3 years ago
13

If A(2;2) and B(-3;4), determine the equation of AB, in the form y=mx+c​

Mathematics
1 answer:
NARA [144]3 years ago
7 0

Answer:

y = -\frac{2}{5}x + \frac{14}{5}

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + c

In which m is the slope and c is the y-intercept(value of y when x = 0).

A(2;2) and B(-3;4)

When we have two points, the slope is the change in y divided by the change in x. So

Change in y: 4 - 2 = 2

Change in x: -3 - 2 = -5

Slope: m = \frac{2}{-5} = -\frac{2}{5}

So

y = -\frac{2}{5}x + c

A(2;2)

When x = 2, y = 2. We use this to find c.

y = -\frac{2}{5}x + c

2 = -\frac{2}{5}(2) + c

c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}

So

y = -\frac{2}{5}x + \frac{14}{5}

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<u>Step-by-step explanation:</u>

Step 1:

Given details are Total Income = $23,400

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