Which of the following is the equation of a line that is parallel to y=4x-3 and passes through the point (0,1)? a . y= -4x+1 b . y=4x+1 c. y=4x-1 d. y=4x

Hi there! The answer is B.

The general form of a linear equation in slope-intercept form is y = ax + b, with a representing the slope of the line.

Since this line is parallel to y= 4x-3, both lines will have the same slope. We get the following y = 4x + b.

The line passes through the point (0, 1), we can plug x-coordinate 0 and the y-coordinate 1 into the equation.

y = 4x + b
Plug in the values

1 = 4 * 0 + b
Multiply

1 = 0 + b
Switch sides.

b = 1.

Therefore the equation of the new line is y = 4x + 1.

~ Hope this helps you!