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Mathematics
Year 10
Linear Equations
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How do you find the slope of the line given two points (2, 3) and (4, 7)?
Use the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$: $m = \frac{7 - 3}{4 - 2} = 2$.
How do you check if your solution $x = 4$ is correct for the equation $2x + 1 = 9$?
Substituting $x = 4$ gives $2(4) + 1 = 9$, which is true, confirming the solution.
What does it mean for a system of equations to be consistent?
A consistent system has at least one solution, meaning the lines intersect at one or more points.
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