Write an equation that satisfies the conditions stated in parallel to the line y = -4x + 1
To find a line parallel to the equation y = -4x + 1, we need to keep the same slope (-4) and find a different y-intercept. The equation of the line will be y = -4x + b, where b is the new y-intercept.
To find a suitable value for b, we can use a specific point on the line. Let's say we want the line to pass through the point (2, 3). We can substitute these values into the equation to find b:
3 = -4(2) + b
3 = -8 + b
b = 11
Therefore, the equation that satisfies the conditions stated is y = -4x + 11.