The point (x,y) = (-1.5) is in the second quadrant. So the best way is to draw a point in the xy coordinate plane and a line segment at the origin (0,0).
Now draw a line from (-1.5) to the x-axis. What you should have is a right triangle with the following coordinates: (0,0); (-1.5); (-1.0).
If you look at a right triangle, it has a small leg on the x-axis. Its length is 1 unit. The larger leg is 5 units long. The length of the hypotenuse can be calculated using the Pythagorean theorem. c2 = a2 + b2, the length of hypotenuse c is √26.
In summary,
- length of short leg = 1 unit
- length of long leg = 5 units
- length of hypotenuse = √26 units
Let x be the length of the leg on the x axis (short leg). Let
y be the length of the other leg (long leg).
Let r be the length of the hypotenuse.
x = -1
y = 5
r = √26
Now we can calculate the trigonometric identity:
sin θ = y/r
cos θ = x/r
tan θ = y/x
cot θ = x/y
seconds θ = r/x
csc θ = r/y
Learn more about Pythagorean theorem brainly.com/question/343682
8449
Answer:
The slope of the line is -3
Step-by-step explanation:
Slope formula:
m = y₂ - y₁ / x₂ - x₁
Get any two points:
(-2, 4) and (-1, 1)
Solve:
m = 1 - 4 / -1 - (-2)
m = -3 / -1 + 2
m = -3 / 1
m = -3
Check for the third point just in case.
Two points:
(-1, 1) and (1 , -5)
Solve:
-3 = -5 - 1 / 1 - (-1)
-3 = -6 / 1 + 1
-3 = -6 / 2
-3 = -3
So -3 is the legit slope of the three collinear points.
Answer: ##########################
Step-by-step explanation: YW
The slope of the line is 3/4 and the line is from the point (0, 2)
Equation of a line
A line is defined as the shortest distance between two points. The standard equation of a line is given as y = mx + b
where
m is the slope
b is the y-intercept
Given the equation y = -5/4 x
From the given equation, the slope of the line is 3/4 and the line is from the point (0, 2) as shown.
Learn more on equation of a line here; brainly.com/question/13763238
#SPJ1
Subtract 9 from both sides. Then you have -14=c/4. Multiply the number by 4. You now have -56=c. :)
