Question
slope practice problems with answers
Answers
GPT 3.5
Sure! Here are some slope practice problems along with their answers:
1. Find the slope of the line passing through the points (2, 4) and (6, 8).
Solution: The slope is given by the formula (y2 - y1) / (x2 - x1).
So, substituting the given coordinates, we have (8 - 4) / (6 - 2) = 4/4 = 1.
2. Calculate the slope of the line passing through the points (-3, 0) and (5, 2).
Solution: Using the slope formula, we get (2 - 0) / (5 - (-3)) = 2/8 = 1/4.
3. Determine the slope of the line given by the equation y = 3x - 2.
Solution: The given equation is already in slope-intercept form (y = mx + b), where m is the slope. Therefore, the slope is 3.
4. Find the slope of the line parallel to the line 2x + 3y = 6.
Solution: To find the slope of a line parallel to another line, we need to have the same coefficient of x and y. By rearranging the given equation in slope-intercept form, we have 3y = -2x + 6, or y = (-2/3)x + 2. The slope of the parallel line is -2/3.
5. Calculate the slope of the line perpendicular to the line 4x - 3y = 9.
Solution: To find the slope of a line perpendicular to another line, we take the negative reciprocal of the original slope. Rearranging the given equation in slope-intercept form, we have -3y = -4x + 9, or y = (4/3)x - 3. The slope of the perpendicular line is -3/4.
These are just a few examples of slope practice problems. Make sure to practice more to enhance your understanding and skills in finding slopes!
1. Find the slope of the line passing through the points (2, 4) and (6, 8).
Solution: The slope is given by the formula (y2 - y1) / (x2 - x1).
So, substituting the given coordinates, we have (8 - 4) / (6 - 2) = 4/4 = 1.
2. Calculate the slope of the line passing through the points (-3, 0) and (5, 2).
Solution: Using the slope formula, we get (2 - 0) / (5 - (-3)) = 2/8 = 1/4.
3. Determine the slope of the line given by the equation y = 3x - 2.
Solution: The given equation is already in slope-intercept form (y = mx + b), where m is the slope. Therefore, the slope is 3.
4. Find the slope of the line parallel to the line 2x + 3y = 6.
Solution: To find the slope of a line parallel to another line, we need to have the same coefficient of x and y. By rearranging the given equation in slope-intercept form, we have 3y = -2x + 6, or y = (-2/3)x + 2. The slope of the parallel line is -2/3.
5. Calculate the slope of the line perpendicular to the line 4x - 3y = 9.
Solution: To find the slope of a line perpendicular to another line, we take the negative reciprocal of the original slope. Rearranging the given equation in slope-intercept form, we have -3y = -4x + 9, or y = (4/3)x - 3. The slope of the perpendicular line is -3/4.
These are just a few examples of slope practice problems. Make sure to practice more to enhance your understanding and skills in finding slopes!