The point-slope form:
The formula of a slope:
We have the points (-4, -1) and (5, 7). Substitute:
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1 answer:
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Answer:
Step-by-step explanation:
Let the equation of line is , where
is the slope of the line.
It passes through .
(<em>Slope of the line</em> joining )
Hence slope of the given line
Equation of line is:
The line passes through
Check if is on the line
Hence line passes through .
Check if is on the line
Hence line passes through .
Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
