Answer:
x =79.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin 31 = 41/ x
x = 41/ sin 31
x = 79.60576508
To the nearest tenth
x =79.6
Slope = (change in y)/(change in x)
.. = (-14 -0)/(2 -0)
.. = -14/2
slope = -7
Answer:
5x + 4y = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - 5y = 20 ( subtract 4x from both sides )
- 5y = - 4x + 20 ( divide all terms by - 5 )
y =
x - 4 ← in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute (- 4, 3) into the partial equation
3 = 5 + c ⇒ c = 3 - 5 = - 2
y = -
x - 2 ← in slope- intercept form
Multiply through by 4
4y = - 5x - 8 ( add 5x to both sides )
5x + 4y = - 8 ← equation in standard form
Step-by-step explanation:
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b. or we get the point of the line directly on the y-axis.
we see several marked points.
e.g.
(-4, 4) (0, -4)
x changes by +4 (from -4 to 0)
y changes by -8 (from 4 to -4)
the slope (a) is -8/+4 = -2
the y-intercept is given by the point (0, -4), because this is where x=0.
so, it is -4
and the line equation is
y = -2x - 4
Answer: slope is -3
Step-by-step explanation:
Simple, plain, easy