Line + analytic geometry - practice problems
Number of problems found: 144
- Susan 5
Susan has a water tank in his back garden that can hold up to 750L in water. At the start of a rainy day (at 0:00) there is 165L in the tank, and after a heavy day’s rain (at 24:00) there is 201 L in the tank. Assuming that the rain fell consistently duri
- Angle and slope
Find the angle between the x-axis and the line joining the points (3, -1) and (4,-2) .
- Equation of a line
Find the equation of a line that passes through (1, 3) and is parallel to the line y = - 2x + 4.
- Two points
M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN.
- LS and y-axis intersection
In what ratio is the line segment joining P (5, 3) and Q (–5, 3) divided by the y-axis? Also, find the coordinates of the intersection point.
- The co-ordinates
The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) internally in the ratio 2:1 are
- Midpoint 11
Consider the following line segment - start point A=(-4,1), endpoint B=(4,-1). Find the midpoint. Please show your work.
- Collinear lines
Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?
- The endpoints
The endpoints of a segment are (-6,1) and (10,11). What are the coordinates of its midpoint?
- X intercept
Given: 3y+2x=-6 Calculate the X-intercept.
- Line equation:
Line equation: y-3=8/9(x-5) Solve for slope
- Y-intercept 2
What is the y-intercept of 4x + 8y =16? Write coordinates of x0, y0 of that y-intercept.
- Slope of the line
What is the slope of the line passing through two points (-3,5) and (2, -1)
- A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation.
- Line in normal form
Try to find the equation of a line given two points in the form Ax+By=C. passes through the points: (2,1) and (-2,2)
- Line slope
What is the slope of the line with points (-1,-3) and (-5, 2)?
- The slope 2
What is the slope of the line that passes through the points (-4, -7) and (-2,-19)? Write your answer in the simplest form.
- Temperature - linear function
In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature wa
- A linear
A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?
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