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

The slope of line passing through the points [tex]\left( { - 1,3} \right)[/tex] and [tex]\left( {4, - 7} \right)[/tex] is [tex]\boxed{ - 2}[/tex]. Option A is correct. Further explanation: The linear equation with slope m and intercept c is given as follows. [tex]\boxed{y = mx + c}[/tex] The formula for slope of line with points [tex]\left( {{x_1},{y_1}} \right)[/tex] and [tex]\left( {{x_2},{y_2}} \right)[/tex] can be expressed as, [tex]\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}[/tex] Given: The passes through point is [tex]\left( { - 2, 2} \right).[/tex] Explanation: The passes through points are [tex]\left( { - 1, 3} \right)[/tex] and [tex]\left( {4, - 7} \right).[/tex]The slope of the line can be obtained as follows, [tex]\begin{aligned}m &= \frac{{ - 7 - 3}}{{4 - \left( { - 1} \right)}}\\&= \frac{{ - 10}}{{4 + 1}}\\&= \frac{{ - 10}}{5}\\&=- 2\\\end{aligned}[/tex] The slope of line passing through the points [tex]\left( { - 1,3} \right)[/tex] and [tex]\left( {4, - 7} \right)[/tex] is [tex]\boxed{ - 2}.[/tex] 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.