Given the equation:
y = 4x - 2
Let's graph the equation using points.
Let's create random points using the equation.
We have:
• When x = -2:
Substitute -2 for x and solve for y
y = 4(-2) - 2
y = -8 - 2
y = -10
Here, we have the point: (-2, -10)
• When x = -1:
Substitute -1 for x and solve for y.
y = 4(-1) - 2
y = -4 -2
y = -6
Here, we have the point: (-1, -6)
• When x = 0:
Substitute 0 for x and solve for y.
y = 4(0) - 2
y = 0 - 2
y = -2
Here, we have the point: (0, -2)
• When x = 1:
y = 4(1) - 2
y = 4 - 2
y = 2
We have the point: (1, 2)
• When x = 2:
y = 4(2) - 2
y = 8 - 2
y = 6
We have the point: (2, 6)
Now, we have the points:
(x, y) ==> (-2, -10), (-1, -6), (0, -2), (1, 2), (2, 6)
Plot the points on the graph and connect the points using a straight line.
We have the graph below: