Practice Questions - Matrices and Equations
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Solution Summary
Neat and step-by-step solutions to all questions regarding matrices and equations. Graphs (if any) are also included.
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1. Find the slope.
The line that passes through points (2, 1) and (4, −6).
Slope = (y2 - y1)/(x2 - x1) = (-6 - 1)/(4 - 2) = -7/2
2. Find the slope.
2x + y = 4
2x + y = 4 ==> y = -2x + 4
Slope is m = -2
3. Find a general equation for the line having the given properties.
Slope = 4; containing (−3, 4)
m = 4 and (x1, y1) = (-3, 4)
The equation to the line is y - y1 = m(x - x1)
y - 4 = 4(x + 3) ==> y = 4x + 16 in ...
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