Question
Write in slope-intercept form the equation of the line passing through the points (3,0) and (5,0).
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Answer to a math question Write in slope-intercept form the equation of the line passing through the points (3,0) and (5,0).
Jon
4.6110 Answers
Solution:
1. Given points:
-(x_1, y_1) = (3, 0)
-(x_2, y_2) = (5, 0)
2. Calculate the slope (m) using the formula:
-m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 0}{5 - 3} = \frac{0}{2} = 0.
3. The slope-intercept form of a line is given by:
-y = mx + b
4. Substitute the slope (m) into the equation:
-y = 0x + b
- Simplifies toy = b
5. Since both points lie on the x-axis, the y-coordinate is0 b = 0
6. The equation of the line in slope-intercept form is:
-y = 0
1. Given points:
-
-
2. Calculate the slope (m) using the formula:
-
3. The slope-intercept form of a line is given by:
-
4. Substitute the slope (m) into the equation:
-
- Simplifies to
5. Since both points lie on the x-axis, the y-coordinate is
6. The equation of the line in slope-intercept form is:
-
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