Write an equation that satisfies the condition parallel to the line y = -4x + 1
y = -4x + 1256
To find an equation parallel to the line y = -4x + 1, we need to understand the properties of parallel lines.
Two lines are parallel if they have the same slope. In the equation y = -4x + 1, the slope is -4.
So, to find the equation parallel to this line, we will keep the slope the same (-4) and choose a different y-intercept.
Let's use a general form of the equation for a line: y = mx + b, where m represents the slope and b represents the y-intercept.
Since we want the line to be parallel to y = -4x + 1, we keep the slope the same as -4:
y = -4x + b
Now, we can choose any value for b, which represents the y-intercept. Let's say b = 4:
y = -4x + 4
This equation, y = -4x + 4, satisfies the condition of being parallel to the line y = -4x + 1.