Question

Line f passes through points (10, 3) and (1, 1). Line g is parallel to line f. What is the slope of line g?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

The slope of line g is 2/9.

Explanation:

• The slopes of parallel lines are the same.
• This means that finding the slope of line f will also give us the slope of line g.

Since we know two points through which line f passes, we can find its slope using the slope formula, which is given by:

m = (y2 - y1) / (x2 - x1), where:

• m is the slope,
• (x1, y1) is one point on the line,
• and (x2, y2) is another point on the line.

Thus, we can find the slope of line f (and ling g) by substituting (10, 3) for (x1, y1) and (1, 1) for (x2, y2) in the slope formula:

m = (1 - 3) / (1 - 10)

m = -2 / -9

m = 2/9

Therefore, the slope of line f and line g is 2/9.