Answer:
Step-by-step explanation:
<u>Slope-intercept form</u> of a linear equation:
where:
- m is the slope
- b is the y-intercept
<u>Given equation</u>:
Therefore, comparing the given equation with the slope-intercept form:
- slope (m) = -2
- y-intercept (b) = -2
The slopes of <u>parallel lines</u> are equal.
Therefore, the slope of the new line is -2.
Substitute the given point (4, 5) and the slope m = -2 into the slope-intercept formula and solve for b:
Finally, substitute the found values of m and b into the formula to create the equation of the line that passes through the given point and is parallel to the given line:
Learn more about the slope-intercept form here: