Answer:
The two equations are y=x+4 and y=2x+5.
Step-by-step explanation:
Given that (-1,3) is solutions of the system of two linear equations.
Let y=mx + c be the generalized equation of line having slope m and y-intercept c.
For different values of m and c, there are corresponding linear equations.
As the lines are passing through the point (-1,3), so, pot x=-1 and y=3 in the generalized equation, we have
All the real values of c and m which satisfy equation (i) are the desired linear equations.
As we required only two linear equations, take any two values of c and m.
For c=4 and m=1 (satisfying equation (i))
and for c=5, m=2
Hence, the two equations are y=x+4 and y=2x+5.
Answer:
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Answer:
Step-by-step explanation:
<u>Step 1: Determine where the points lie on the graph</u>
Point #1 is seen to be in the second quadrant. Looking more into where the point lies we can see that it crosses <u>-7</u> on the x-axis and <u>6</u> on the positive y-axis.
Point #2 is seen to be in the fourth quadrant. After viewing the point a bit more we can see that the x-value is <u>12</u> and the y-value has been moved down to <u>-4</u>.
<u>Step 2: Determine the distance between the points</u>
Answer:
Answer:
x=2, -4
Step-by-step explanation:
The equation is . The x-intercept is the point(s) where the function intersects the x axis, so this value can be found by plugging in 0 for y. doing so results in . Then, solve for x by moving 18 over, dividing by -2, square rooting both sides, and subtracting 1 to find the value of x.
For 13. the answer is w = -1.
Here are the steps
1. subtract 5 from both sides ( 3w = 2 - 5)
2. simplify 2 - 5 to -3 (3w = -3)
3. divide both sides by 3 ( finally the answer is w = -1.
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