What does it mean for a point to be the solution to two equations
1 answer:
Answer:
It means the point will satisfy both the equations.
Step-by-step explanation:
If we consider a point P which is the solution of two equations ax + by + c = 0 and px + qy + r = 0, then it conveys the information that both the equations will be satisfied by this point.
That means and
At the same time if we consider the geometric interpretation then, the graph of the equations ax + by + c = 0 and px + qy + r = 0 will always pass through the common point P. (Answer)
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Answer:
Step-by-step explanation:
The table shows a set of x and y values, thus showing a set of points we can use to find the equation.
1) First, find the slope by using two points and substituting their x and y values into the slope formula, . I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:
Thus, the slope is .
2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.
3) Finally, write an equation in slope-intercept form, or format. Substitute the
and
for real values.
The represents the slope of the equation, so substitute it for
. The
represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation: