Answer:
Step-by-step explanation:
<u>The slope is the ratio of difference of y- coordinates by the difference of x- coordinates:</u>
Answer:
the line rises from left to right
Step-by-step explanation:
the slope is a positive number, therefore it will be rising, not dropping/falling, or going down.
Answer:
The required equation of line in point-slope form is:
Step-by-step explanation:
Given points are:
(x1,y1) = (3,6)
(x2,y2) = (5,-8)
The point-slope form of an equation is given by:
Here m is slope of the line and (x1,y1) is a point on line
The slope is calculated using the formula:
Putting the values we get
Putting in the equation
Now we have to put a point in the equation, putting (3,6) in the equation
Hence,
The required equation of line in point-slope form is:
Using the triangle, we can find the angle lengths and using those and trig ratios, find the side lengths. Lets say the top side length is "y".
Using the Law of triangles, we can find the missing angle from 180-90-70=20 deg.
Then we can use the Law of sines,
sin(70)/13=sin(20)/y
y=sin(20)*13/sin(70)
y=15.34
Finally, we use the Pythagorean Theorem, (13)^2+(15.34)^2=x^2
x = 20.1
