Equation of the line
The equation of a line can be expressed in slope-intercept form as follows:
y = mx + b
Where m is the slope of the line and b is the y-intercept.
We are given the equation of a line:
y = -5x + 3
This line as a slope of m=-5 and the intercept with the y-axis is y=3
We are required to find the equation of another line that is parallel to the given line. Parallel lines have the same slope. Thus the slope of our new line is also m=-5.
We are also given the y-intercept of the new line (0,4). This means the value of b is 4.
Knowing the values of m and b, we can write the equation of the required line as:
y = -5x + 4