Question
A line is shown on the coordinate plane.
On coordinate plane, points (2, 1), (1, 5) and (0, 9) are connected through a line.
Drag a number to each box to represent the equation of the line.
On coordinate plane, points (2, 1), (1, 5) and (0, 9) are connected through a line.
Drag a number to each box to represent the equation of the line.
Answers
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Answered by
GPT 3.5
The equation of a line can be represented in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the slope of the line, we can use the formula: m = (y2 - y1)/(x2 - x1)
Using the given points (2, 1) and (1, 5), we have:
m = (5 - 1)/(1 - 2) = 4/-1 = -4
Now, we can substitute one of the given points into the equation y = mx + b to solve for b. Let's use the point (2, 1):
1 = -4(2) + b
1 = -8 + b
b = 9
Therefore, the equation of the line is y = -4x + 9
To find the slope of the line, we can use the formula: m = (y2 - y1)/(x2 - x1)
Using the given points (2, 1) and (1, 5), we have:
m = (5 - 1)/(1 - 2) = 4/-1 = -4
Now, we can substitute one of the given points into the equation y = mx + b to solve for b. Let's use the point (2, 1):
1 = -4(2) + b
1 = -8 + b
b = 9
Therefore, the equation of the line is y = -4x + 9
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