Write an equation that satisfies the conditions stated in Exercises

Parallel to the line y=-4x + 1

if it is parallel, it has the same slope of -4

so y = -4x + b

where b is any old number

I was about to ask you where did you get the b from?? (now I see) but is this the same as constant??

To create an equation that is parallel to the line y = -4x + 1, we need to ensure that the slope of the new equation is also -4. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line.

To write an equation with a slope of -4, we can assign any value to b since it represents the y-intercept. Therefore, the equation y = -4x + b will be parallel to y = -4x + 1 for any value of b.