Which equation represents the line through (4, 5) and (0, 3)?
1 answer:
Answer:
I dont know what options you have but all these are possible answers
y - 5 = 1/2 ( x - 4 )
y - 3 = 1/2 x
y = 1/2 x + 3
Step-by-step explanation:
In order to find the equation you need a slope, so you find the slope of both points by using the slope equstion
y2 - y1 / x2 - x1
and you would get :
now you plug it into the point slope formula which is y - y = m ( x - x )
and you choose one of the two sets of points that they provided in the question but you'll get the same answer either way.
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![\bf \stackrel{two~triangles}{2\left[\cfrac{1}{2}(4)(1.5) \right]}+\stackrel{left-right~rectangles}{2(6\cdot 2.5)}+\stackrel{bottom~rectangle}{4\cdot 6} \\\\\\ 6~~+~~30~~+~~24](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Btwo~triangles%7D%7B2%5Cleft%5B%5Ccfrac%7B1%7D%7B2%7D%284%29%281.5%29%20%20%5Cright%5D%7D%2B%5Cstackrel%7Bleft-right~rectangles%7D%7B2%286%5Ccdot%202.5%29%7D%2B%5Cstackrel%7Bbottom~rectangle%7D%7B4%5Ccdot%206%7D%0A%5C%5C%5C%5C%5C%5C%0A6~~%2B~~30~~%2B~~24)
now, for the triangular prism on the right-hand-side,
notice is really just 2 triangles and 3 rectangles, stacked up to each other at the edges.
the triangles have a base of 4, and a height of 1.5.
the rectangle on the left and the one on the right is a 6x2.5 rectangle.
the rectangle at the bottom, is a 4x6 rectangle.
adding their areas, is the area of the prism,