Answer to Question #77767 in Linear Algebra for Vaibhavi

Question

1. Sketch the graph of the linear function

a) 2x + 3y = 6
b) 4y - 2x + 5 = 0

2. The following equations are in the general form Ax + Bx + C = 0. Express each of them in the form y = mx + b and state the gradient and y intercept of its graph

a) 3x - y + 2 = 0
b) 3x + 4y + 12 = 0
c) 2x + y - 3 = 0

3. The line PQ had an angle of inclination of 60 degrees. What is it gradient? ( answer in surd form)

4. What is the equation of the straight line having:
a) a gradient of 3 and a y intercept of -4
b) an angle of inclination of 135° and a y intercept of 5