Math Problem Statement
Graph the points (-4, 5) and (5, -3) and draw a straight line that passes through both of them. Then answer the following questions.
Does the graph of (1, 0) lie on the line?
Does the graph of (1, -2) lie on the line?
Does the graph of (-3, 4) lie on the line?
Does the graph of (-5, -2) lie on the line?
Solution
The graph of the line passing through the points (-4, 5) and (5, -3) has been drawn. Here are the results regarding whether the given points lie on the line:
-
Does the point (1, 0) lie on the line?
No, it does not lie on the line. -
Does the point (1, -2) lie on the line?
No, it does not lie on the line. -
Does the point (-3, 4) lie on the line?
No, it does not lie on the line. -
Does the point (-5, -2) lie on the line?
No, it does not lie on the line.
Let me know if you'd like more details or have any questions.
Here are 5 related questions:
- How do you calculate the slope between two points?
- What is the equation of a line given two points?
- How do you determine if a point lies on a given line?
- How can you find the y-intercept from two points on a line?
- How do parallel lines differ in terms of slope?
Tip: To check if a point lies on a line, substitute its coordinates into the line's equation and see if both sides match.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Linear Equations
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Equation of a line: y = mx + b
Point-slope form of a line: y - y1 = m(x - x1)
Theorems
Two-point form theorem
Point-slope theorem
Suitable Grade Level
Grades 8-10
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