Find the equation of the line that passes through the following two points:(4, -6) and (6, 3)Group of answer choices𝑦=92𝑥−18

To find the equation of the line that passes through two points, we can use the formula for the slope of a line, which is (y2 - y1) / (x2 - x1).

Step 1: Find the slope (m) The slope of the line passing through the points (4, -6) and (6, 3) is (3 - (-6)) / (6 - 4) = 9/2.

Step 2: Use the point-slope form of a line The point-slope form of a line is y - y1 = m(x - x1). We can use one of our points and the slope we found to write this equation. Let's use the point (4, -6): y - (-6) = 9/2 * (x - 4).

Step 3: Simplify the equation Simplify the equation to get it into slope-intercept form (y = mx + b): y + 6 = 9/2 * x - 18. Then, subtract 6 from both sides to solve for y: y = 9/2 * x - 18.

So, the equation of the line that passes through the points (4, -6) and (6, 3) is y = 9/2 * x - 18.