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!
