Q:

# What is the slope of the line passing through the points (−1, 3) and (4, −7) ?A. −2B. 3/4C. − 4/3D. 2

Accepted Solution

A:
The slope of line passing through the points $$\left( { - 1,3} \right)$$ and $$\left( {4, - 7} \right)$$ is $$\boxed{ - 2}$$. Option A is correct. Further explanation: The linear equation with slope m and intercept c is given as follows. $$\boxed{y = mx + c}$$ The formula for slope of line with points $$\left( {{x_1},{y_1}} \right)$$ and $$\left( {{x_2},{y_2}} \right)$$ can be expressed as, $$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$$ Given: The passes through point is $$\left( { - 2, 2} \right).$$ Explanation: The passes through points are $$\left( { - 1, 3} \right)$$ and $$\left( {4, - 7} \right).$$The slope of the line can be obtained as follows, \begin{aligned}m &= \frac{{ - 7 - 3}}{{4 - \left( { - 1} \right)}}\\&= \frac{{ - 10}}{{4 + 1}}\\&= \frac{{ - 10}}{5}\\&=- 2\\\end{aligned} The slope of line passing through the points $$\left( { - 1,3} \right)$$ and $$\left( {4, - 7} \right)$$ is $$\boxed{ - 2}.$$ Option A is correct. Option B is not correct. Option C is not correct. Option D is not correct. Learn more: What are the names of three collinear points . Triangle abc is shown on the graph. what are the coordinates of the image of point b after the triangle is rotated 270° about the origin? (4, 2) (2, 4) (–4, –2) (–2, –4). What are the domain and range of the function f(x) = 3x + 5. Answer details: Grade: High School Subject: Mathematics Chapter: Linear equation Keywords: numbers, slope, passes (-1,3), (4,-7), slope intercept, inequality, equation, linear inequality, y-intercept, graph, representation, origin, parallel.