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Marianna [84]
3 years ago
6

What is the equation of a line passing through the points (2,4) and (3,2)

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

We can use slope-intercept form to write the equation: y = mx + b

m = slope

b = y-intercept

______

First, solve for the slope.

Formula: y2-y1/x2-x1

= 2-4/3-1

= -2/2

= -1

______

Second, let's solve for the y-intercept.

We can use the point -1 and (2, 4) to solve.

y = mx + b

Substitute.

4 = -1(2) + b

4 = -2 + b

Add 2 to both sides.

4 + 2 = -2 + b + 2

Simplify.

6 = b

______

Now, complete the equation by filling in everything we solve for.

y = -1x + 6

______

Best Regards,

Wolfyy

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