Write the equation in point slope form for the line that contains the points (-2,-3), (4,3)

Mathematics

1 answer:

Minchanka [31]2 years ago

5 0

Answer:

y + 3 = 1 ⋅ (x + 2).

Step-by-step explanation:

Find the equation using point-slope formula.

Slope-intercept form:

y = x − 1

Point-slope form:

y + 3 = 1 ⋅ (x + 2)

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What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) ,

Luden [163]

Check the picture below.

notice the composite is just,

a 5x2 rectangle.

a triangle(yellow) with a base of 2 and a height of 2.

a triangle(red) with a base of 6 and a height of 4.

get the area of each, sum them up, and that's the area of the composite.

$\bf \stackrel{rectangle}{(5\cdot 2)}~~~~+~~~~\stackrel{yellow~triangle}{\cfrac{1}{2}(2)(2)}~~~~+~~~~\stackrel{red~triangle}{\cfrac{1}{2}(6)(4)}$