O y=-3x+5
Oy - 3x-5
O y=3x+5
The slope of the line through points (2, -1) and (5,-10) is -3. With y-intercept +5, the line's equation in slope-intercept form is y = -3x + 5.
The subject of your question is in the field of Mathematics, specifically algebra.
You are looking for the equation of the line in slope-intercept form, which is y = mx + b where m is the slope and b is the y -intercept. We first calculate the slope using the formula (y2 - y1) / (x2 - x1). Plugging in the values we get, m = (-10 - (-1)) / (5 - 2) = -9 / 3 = -3. Thus, m = -3. Then, to find the y-intercept, we use the point-slope form of a line equation y - y1 = m(x - x1), and plug in one of the points (2, -1) and the slope value, and then solve for b. The equation in slope-intercept form will be y = -3x + 5.
So the answer to your question is y = -3x + 5.
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Answer:
y = -3x + 5
Step-by-step explanation:
Usually by drawing a simple graph, you can tell what the equation is, even if the graph isn't 100% accurate. From the points alone, you can tell that the slope is negative, since as you increase in x you decrease in y (which is a negative relationship). You can tell that it's +5 rather than -5 because the graph sketched shows that the line goes above 0 (indicating a positive number), rather than below (a negative number).
To find a point that is 3/10 of the way from point A to B, we scale the vector from A to B by 0.3. To find the x and y coordinates of this point, we use the formula X = x1 + 0.3 * (x2 - x1) and Y = y1 + 0.3 * (y2 - y1) respectively.
The question asks us to find the coordinates of a point that is 3/10 (or 30%) of the way from point A to B. This involves using the idea of vector addition and scalar multiplication in mathematics.
Let's represent the journey from point A to B as the vector AB. You can consider vector AB to be generated by some coordinates (x1, y1) at point A and some (x2, y2) at point B. If we are trying to locate a point that is 3/10 along the way from A to B, it is like scaling the vector AB by 0.3 (3/10).
To find the x and y coordinates of that point, we would calculate it as follows:
As a result, by substituting the coordinates of point A and B into these equations, we can find the coordinates of the point that is 3/10 of the way from point A to B.
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To find the coordinates of a point 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The coordinates of A are (11,7) and the coordinates of B are (-3,-6). Using the midpoint formula, we can calculate the coordinates of the desired point are (6.8, 3.1).
To find the coordinates of a point that is 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, the coordinates of A are (11,7) and the coordinates of B are (-3,-6). So, we can find the coordinates of the point 3/10 of the way from A to B by taking 3/10 of the difference between the x-coordinates and adding it to the x-coordinate of A, and taking 3/10 of the difference between the y-coordinates and adding it to the y-coordinate of A. Let's calculate it step by step:
x-coordinate: (3/10)(-3 - 11) + 11 = (3/10)(-14) + 11 = -4.2 + 11 = 6.8
y-coordinate: (3/10)(-6 - 7) + 7 = (3/10)(-13) + 7 = -3.9 + 7 = 3.1
So, the coordinates of the point that is 3/10 of the way from A to B are (6.8, 3.1).
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Answer:
5(5) - 3(7) = 4
B) y = 10x
C) y = 90x
D) y = 1/10x
Please give an honest answer = )
Answer:
B) y = 10x
Step-by-step explanation:
It should not be too hard for you to determine that every number on the bottom row is the same as the number on the top row with a zero appended.
Appending a zero to a number is the same as multiplying it by 10. For example, ...
... 90 = 10·9
... y = 10x
_____
In case that observation doesn't work out for you, you can always solve the given equation for k, then choose values from the table to fill in.
... y = kx
... k = y/x . . . . . divide by the coefficient of k, which is x
Fill in values from the table
... k = 20/2 = 10 . . . . . . from the second column
Now put this value where k is in the equation. After you do that, you know ...
... y = 10x
slope = (30 - 20)/(3 - 2) = 10 /1 = 10
equation
y = 10x
Answer
B) y = 10x
36x-63y=7
-24x+42y=0
Answer:sorry I don't think itis possible with elimination method if it is possible you can post it in the comment section
Step-by-step explanation: