The equation of the line passes through the point and has a slope is .
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What are a line and the slope of a line?</h3>
Line:
- A line has only one dimension i.e., length and no width.
- It is formed with an infinite number of points lying on it.
- It can be extended infinitely along a straight path in both directions.
- An infinite number of lines pass through a given point, and a unique straight line can be drawn if any two points on that line are shown.
The slope of a line:
The slope of a line is the tangent value of the angle i.e., , where is the angle made by the line with the positive -axis.
Equation of a line:
The equation of a line in slope-intercept form is given by , where is the slope of the line and is the intercept of the line.
Here, we want to find the equation of the line which passes through the point and has a slope .
So, put in and obtain .
Now, since the line passes through the point , put and in to obtain:
Therefore, after substituting in , we obtain the required equation of the line that is .
So, the equation of the line that passes through the point and has a slope is .
Answer:it’s y+3=6x
Step-by-step explanation:
Because the angles are vertical angles, they are equal.
Set the equations equal to each other:
5x+100 = 3x+112
Subtract 100 from 112:
5x = 3x+12
Subtract 3x from 5x:
2x = 12
Divide 12 by 2:
x = 6
x is equal to 6
Answer:
x=-2 or x=7
Step-by-step explanation:
subtract 14 on both sides
factor the left side of the equation
find what minus what equals 0
then you get x=-2 and x=7