Answer:
y = 5x - 5
Explanation:
Relationship between the slopes of parallel lines:
- Parallel lines have the same slope.
The form of y = 5x + 1 easily allows to identify the slope, but we simply need to identify the form
Identifying the form of y = 5x + 1 and the slope (m) of both lines:
y = 5x + 1 is in the slope-intercept form of a line, whose general equation is given by:
y = mx + b, where
- m is the slope,
- and b is the y-intercept
Thus, the slope of both y = 5x + 1 and the other line is 5.
Finding the y-intercept (b) and the equation of the other line:
We can find the y-intercept (b) of the other line by substituting 5 for m and (3, 10) for (x, y) in the slope-intercept form:
10 = 5(3) + b
(10 = 15 + b) - 15
-5 = b
Thus, y = 5x - 5 is the equation of the line parallel to y = 5x + 1 and passing through the point (3, 10).