What is the equation of a line that is parallel to y=47x-3 and passes through (14, 4) ?

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where

m = slope

c = intercept

The equation of the given line is

y = 47x - 3

Comparing with the slope intercept equation, m = 47

If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47

We would determine the intercept, c by substituting m = 47, x = 14 and y = 4 into y = mx + c. It becomes

4 = 47 * 14 + c

4 = 658 + c

c = 4 - 658 = - 654

The equation becomes

y = 47x - 654