(-3,4):(4,56

It seems like you are providing a pair of points, possibly in the context of a mathematical problem. The notation you've provided is not entirely clear, but it appears to be points of the form (x1, y1) and (x2, y2). If these points are (-3, 4) and (4, 56), you might be looking to find the slope, the distance between the two points, or perhaps the equation of the line that passes through them. Here’s how you could approach this: ### 1. Slope Calculation The formula for the slope (m) between two points (x1, y1) and (x2, y2) is: \[ m = \frac{y2 - y1}{x2 - x1} \] Substituting your points: \[ m = \frac{56 - 4}{4 - (-3)} = \frac{52}{7} \] ### 2. Distance Calculation The distance (d) between the two points is calculated using the distance formula: \[ d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \] Substituting the values: \[ d = \sqrt{(4 - (-3))^2 + (56 - 4)^2} \] \[ d = \sqrt{(7)^2 + (52)^2} \] \[ d = \sqrt{49 + 2704} = \sqrt{2753} \] ### 3. Equation of the Line Using the point-slope form of the line equation, which is given by: \[ y - y1 = m(x - x1) \] Using one of the points, let's say (-3, 4): \[ y - 4 = \frac{52}{7}(x + 3) \] You can rearrange this to get the line in slope-intercept form (y = mx + b) if needed. Let me know if you need any specific calculations or explanations!