Write an equation of a line that is parallel to y=5x+3 with a y intercept - 2

Answer: y = 5x - 2

Step-by-step explanation:

This is coordinate geometry, and from the principle of parallelism, for two lines to be parallel to each other, m1 = m2.

Now from the quest above

y = 5x + 3 with the y intercept of the other line to be - 2

From the equation if a straight line,

y = mx + c where m is the slope so gradient and c is the y intercept.

Since the two lines are parallel to each other, it means that m1 = m2

So m1 = 5 and m2 = 5, the equation of the second line will be

y = 5x - 2