Given the equation:
y = 6 - 4x
Let's find two points on the line and graph the equation.
To find two points on the line, let's select random values of x, then use the values of x to find y.
• When x = 2:
Substitute 2 for x and evaluate for y
y = 6 - 4x
y = 6 - 4(2)
y = 6 - 8
y = -2
Hence, we have one point:
(x, y) ==> (2, -2)
When x = 0:
Substitute 0 for x and evaluate for y
y = 6 - 4x
y = 6 - 4(0)
y = 6 - 0
y = 6
We now have another point:
(x, y) ==> (0, 6)
Therefore, we now have the points:
(2, -2) and (0, 6)
To graph the equation, plot the two points on the graph, then connect them using a straight line.
We have the graph below: