Question

What is the slope of the line passing through the points (−1, 3) and (4, −7) ?

Answer 1

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

in this problem we have

$A(-1,3)\ B(4,-7)$

substitute in the formula

$m=\frac{-7-3}{4+1}$

$m=\frac{-10}{5}$

$m=-2$

therefore

the answer is the option A

$m=-2$

Answer 2

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:

1. What are the names of three collinear points brainly.com/question/5191341.
2. 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)brainly.com/question/7437053.
3. What are the domain and range of the function f(x) = 3x + 5https://brainly.com/question/3412497.

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.