Y=-6x+10. Y=-6x+3 Solve the system of equations
1 answer:
Given:
The system of equations is
To find:
The solution of given system of equations.
Solution:
Slope intercept form of a line is
where, m is slope and b is y-intercept.
For , slope is -6 and y-intercept is 10.
For , slope is -6 and y-intercept is 3.
Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.
Therefore, the given system of equation has no solution.
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Answer:
Step-by-step explanation:
The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).
- x₁= 5
- y₁= 4
- x₂= -2
- y₂= 1
Substitute these values into the formula.
Solve the numerators.
- 5+ -2 = 5-2 = 3
- 4+1 = 5
Convert the fractions to decimals.
The midpoint of the line segment is (1.5 , 2.5)