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Finding Line Equations Worksheet
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Finding Line Equations Worksheet
Use y = mx + c to represent a straight line. Here, m is the gradient and c is the y-intercept. Show your working where needed.
Gradient and y-intercept
Use the change in y divided by the change in x to calculate gradient.
1.A straight line passes through (3, 4) and (7, 14). What is its gradient?
2.A line has gradient 4 and passes through (2, 11). Find its equation in the form y = mx + c.
3.For the line y = 5x - 6, which number is the y-intercept?
- 5
- -6
- 6
- -5
Equations from Two Points
Calculate the gradient first, then use a point to find c.
4.Find the equation of the line through (-2, 1) and (4, 13). Write your answer as y = mx + c.
5.A line goes through (0, 6) and (5, -4). Write its equation in the form y = mx + c.
6.A line passes through (-3, 8) and (5, -8). Find its equation, then state the coordinates where it crosses the x-axis.
Linear Equations in Context
Identify the starting amount and the amount that changes each time.
7.A bicycle hire shop charges a fixed fee of $12 plus $7 for each hour hired. Write a rule for the total cost C dollars for h hours.
8.A line has gradient 3 and passes through (0, -2). Find its equation in the form y = mx + c.
9.Find the equation of the line through (2, 7) and (6, 19).
10.Two lines are parallel. The first passes through (-1, 2) and (3, 10). The second passes through (0, -5). Find the equation of each line.
3 printable pages
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