Answer:
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Where m the slope of the line and b the y-intercept.
When two points are given, it's convenient to calculate the slope first.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The points are (3,5) and (-2,1):
The equation is now:
To calculate b, we use any of the given points and solve for b. Use (3,5):
Operate:
Solve:
The required equation of the line is:
Answer:
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Step-by-step explanation:
Answer:
The angle between the ramp and the horizontal is 11.54 degrees
Step-by-step explanation:
Here, we want to get the angle between the ramp and the horizontal
What we have to do here is to bring the measure of 2 m near to the edge leftwards, so we can have a right triangle
Now, the angle we want to calculate is the angle that faces the measure 2 m
The given measure of 10 m will represent the hypotenuse of the right triangle
The trigonometric ratio that links the hypotenuse and the opposite is the sine
The sine is the ratio of the opposite to the hypotenuse
Thus, we have it that;
sin theta = opp/hyp
sin theta = 2/10
sin theta = 0.2
theta = sin^-1 0.2
theta = 11.54
M = (f(5) -f(-2))/(5 -(-2)) = (-10 -1)/7
m = -11/7
The slope of the line is -11/7.
Answer:
It is 0
Step-by-step explanation:
