Question

1. write an equation of a line with a y-intercept of 2, but also make that new line parallel to the line y=5x-13. write the equation in the form y=mx+b while plugging in for m and b, and convert m to a decimal (example answer, but not the right answer: y=-0.2x+7)

Explanation:

Step1: Recall slope of parallel lines

Parallel lines have equal slopes. The given line is \( y = 5x - 13 \), so its slope \( m = 5 \) (in decimal, it's still 5 as it's an integer).

Step2: Identify y - intercept

The y - intercept \( b \) is given as 2.

Step3: Write the equation

Using the slope - intercept form \( y=mx + b \), substitute \( m = 5 \) and \( b = 2 \). So the equation is \( y=5x + 2 \).

Answer:

\( y = 5x+2 \)