What is the slope intercept form
1 answer:
Answer:
Find slope first:
Substitute a TWO points into the above slope formula:
Points: (-2, 0) and (0, 1)
Slope is (1 / 2).
Substitute slope into slope point formula:
y - y1 = m (x - x1)
y - y1 = (1 / 2) (x - x1)
Substitute a point in the above equation:
Sub point (0, 1)
y - 1 = (1/2) (x - 0)
y - 1 = 1/2x
Get equation by solving for y:
y = 1/2x + 1
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Answer:
The point of intersection of the system of equations is:
(x, y) = (-2, 1)
The correct system of equations intersect at point A in this graph will be:
Thus, the second option is correct.
Step-by-step explanation:
Given the point
- A (-2, 1)
Let us check the system of equations to determine whether it intersect at point A in this graph.
Given the system of equations
Arrange equation variable for elimination
so
so the system of equations becomes
Solve 7x = -14 for x
Divide both sides by 7
Simplify
For y - 4x = 9 plug in x = 2
Subtract 8 from both sides
Simplify
y = 1
Thus, the solution to the system of equations is:
(x, y) = (-2, 1)
From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.
In other words, the point of intersection of the system of equations is:
(x, y) = (-2, 1)
Therefore, the correct system of equations intersect at point A in this graph will be:
Thus, the second option is correct.
