Graph the linear equation with 3 points
1 answer:
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
To graph the line find the intercepts
step 1
Find the y-intercept (value of y when the value of x is equal to zero)
For x=0
substitute in the linear equation
The y-intercept is the point (0,-1)
step 2
Find the x-intercept (value of x when the value of y is equal to zero)
For y=0
substitute in the linear equation
The x-intercept is the point (1,0)
step 3
Find a third point
<em>Note</em>: It is important to specify that two points are sufficient to draw a line
assume the value of x=5
substitute in the linear equation and solve by y
so
The third point is (5,4)
step 4
Plot the points and connect them to graph the line
see the attached figure
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Now, to find the value of the angle x, we will need a
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We know for our diagram that the opposite side of Victor's angle of inclination, x, is the height of the building (45m), and the adjacent side of it is the distance between Victor and the building (20m). Now we can replace the values in our tangent equation to get:
But we need to find the value of x not the value of tangent, so we are going to use the inverse function of tangent, arctangent (arctan)
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We can conclude that Victor's angle of inclination from he stands to the top of the building is 66°.
