Question

3x - y = 3

Explanation:

Step1: Rewrite the equation

Rewrite the equation \(3x - y = 3\) in slope - intercept form (\(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept).
Subtract \(3x\) from both sides: \(-y=-3x + 3\).
Multiply both sides by \(- 1\): \(y = 3x-3\).

Step2: Find two points on the line

• When \(x = 0\):

Substitute \(x = 0\) into \(y=3x - 3\), we get \(y=3(0)-3=-3\). So the point is \((0,-3)\).

• When \(x = 1\):

Substitute \(x = 1\) into \(y = 3x-3\), we get \(y=3(1)-3=0\). So the point is \((1,0)\).

Step3: Plot the points and draw the line

Plot the points \((0,-3)\) (on the y - axis, 3 units below the origin) and \((1,0)\) (on the x - axis, 1 unit to the right of the origin) on the coordinate grid. Then draw a straight line passing through these two points.

Answer:

To graph \(3x - y=3\) (or \(y = 3x - 3\)): plot the points \((0,-3)\) and \((1,0)\) and draw a line through them.