91.9k views
3 votes
Find the slope of the line passing through the points (3, 4) and (8, -3).

(A) -1
(B) 1
(C) -2
(D) 2

User Aloraman
by
8.4k points

1 Answer

1 vote

Final answer:

The slope of the line through (3, 4) and (8, -3) is calculated by the difference in y-values divided by the difference in x-values, yielding -7/5 or -1.4, which does not match any of the provided options. Slope measures the steepness of a line and is consistent for any two points on a straight line.

Step-by-step explanation:

The slope of a line passing through two points, (3, 4) and (8, -3), can be found using the formula for slope:
slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1). Plugging in our values, we get:

m = (-3 - 4) / (8 - 3) = -7 / 5 = -1.4. So, the correct answer would be none of the options provided (A) -1, (B) 1, (C) -2, (D) 2, indicating a possible typo in the question or the options provided.

The slope is a measure of how steep a line is. In FIGURE A1 Slope and the Algebra of Straight Lines, the slope of 3 means for every increase of 1 on the horizontal axis, there is a rise of 3 on the vertical axis. The value of the slope (m) and y-intercept (b) in the equation of a straight line (
y = mx + b) determine the shape of the line.

User Tdao
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.