For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and
horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.
Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.
Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.
1 answer:
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Answer:
(a)
(b)
(c)
Step-by-step explanation:
The formula for calculating the equation of line in point - slope form is given as :
where m is the slope
Given from the question :
m = - 4
= 2
= 6
Substituting into the formula , we have :
Therefore :
(a) the equation of the line in point - slope form is
(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give :
(c) the equation of line in standard form is ;
Answer:
x = 8.75, y = 8.125
Step-by-step explanation:
The triangles are similar thus the ratios of corresponding sides are equal, that is
=
( cross- multiply )
8x = 70 ( divide both sides by 8 )
x = 8.75
And
=
( cross- multiply )
8y = 65 ( divide both sides by 8 )
y = 8.125