Question

A line is parallel to y = 3x - 2 and intersects the point (3,5).

How can we find the slope of thisparallel line?
A.We can use the slope formula: m
y2-y1
X2-X1
B.Parallel lines have the same slope. We can simply
identify the slope in the equation of the first line.

Answer 1

The slope of a line parallel to y = 3x - 2 is also 3, since parallel lines have identical slopes.

Step-by-step explanation:

To find the slope of the line that is parallel to y = 3x - 2 and intersects the point (3,5), we must understand that parallel lines have identical slopes. The given equation y = 3x - 2 is in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept. The slope m is the coefficient of x, which in this case is 3. Therefore, the slope of the parallel line is also 3. This is supported by the fact that the slope remains constant all along a straight line, as illustrated by Figure A1, where the slope is defined as rise over run.