What equation describes a line that passes through (−3, 1) and is parallel to he line described by y = 4x + 1?
The equation of a line parallel to the line y = 4x + 1 can be written in the form y = mx + b, where m is the slope and b is the y-intercept. Since the given line has a slope of 4, the parallel line will have the same slope.
Therefore, the equation of the parallel line can be written as y = 4x + b. To find the value of b, we can substitute the coordinates of the point (-3, 1) into the equation:
1 = 4(-3) + b
1 = -12 + b
b = 13
So, the equation of the line that passes through (-3, 1) and is parallel to y = 4x + 1 is y = 4x + 13.