The equation of a line can be determined using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. To find the equation of the line passing through points A(0,0) and B(4,9), we can follow these steps:
1. Calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1)
- Substituting the coordinates of A and B: m = (9 - 0) / (4 - 0) = 9/4
2. Substitute the slope (m) and the coordinates of one of the points (A or B) into the slope-intercept form (y = mx + b) to find the y-intercept (b).
- Using point A(0,0): 0 = (9/4)(0) + b
- Simplifying the equation: 0 = b
3. Write the final equation using the slope (m) and the y-intercept (b).
- The equation of the line is: y = (9/4)x
So, the equation of the line joining points A(0,0) and B(4,9) is y = (9/4)x.
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The equation of a line can be determined using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. To find the equation of the line passing through points A(0,0) and B(4,9), we can follow these steps:
1. Calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1)
- Substituting the coordinates of A and B: m = (9 - 0) / (4 - 0) = 9/4
2. Substitute the slope (m) and the coordinates of one of the points (A or B) into the slope-intercept form (y = mx + b) to find the y-intercept (b).
- Using point A(0,0): 0 = (9/4)(0) + b
- Simplifying the equation: 0 = b
3. Write the final equation using the slope (m) and the y-intercept (b).
- The equation of the line is: y = (9/4)x
So, the equation of the line joining points A(0,0) and B(4,9) is y = (9/4)x.
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