Pass Check: Linear Graphs
Straight lines: y = mx + c, gradient, intercepts and parallel lines.
Gradient (m)
How steep a line is; change in y divided by change in x.
y-intercept (c)
The value of y where the line crosses the y-axis, where x = 0.
Linear graph
A straight-line graph; the equation has no x² or higher powers.
Parallel lines
Lines with the same gradient that never meet.
Quick check
Mixed quiz
1. Find the equation of the line passing through (1, 3) and (4, 9).
2. Find the gradient of the line y = 2x + 3.
3. Find the equation of the line passing through (1, 5) and (4, 11).
4. Find the gradient of the line y = 4x + 3.
5. Find the equation of the line passing through (1, 7) and (4, 19).
6. Find the gradient of the line y = 3x + 1.
7. In y=mx+c, what does c represent?
8. Find the gradient of the line y = 2x + 1.