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zmey [24]
3 years ago
11

15 points!

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Hi there! You are provided with two points, this is all you need to calculate the line's slope.


The equation for slope is:

\frac{y2 - y1}{x2 - x1}

\frac{10 - 8}{3 - 7} = -\frac{2}{4}

Slope: -2/4


Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.

y - 10 = -2/4(x - 3)


Write the equation in slope-intercept form (y=mx+b)

y - 10 = -2/4(x-3)\\y = -2/4(x-3) + 10\\y = -2/4x + 1.5 + 10\\y = -2/4x + 11.5


A) -2/4

B) y - 10 = -2/4(x - 3)

C) y = -2/4x + 11.5

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Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

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<u>Replacing a, b, and c as the given side lengths:</u>

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\text{Perimeter of triangle = Sum of it's side lengths}

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<u>Evaluating the area:</u>

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\implies \text{Area of triangle} = 6 \ \text{cm}^{2}

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