Slope is \( \frac{8}{9} ;(8,7) \) on line Type your answer in point-slope form, using the given point.

To express the equation of a line in point-slope form, you can use the formula \( y - y_1 = m(x - x_1) \), where \( m \) is the slope and \( (x_1, y_1) \) is a point on the line. Given the slope \( \frac{8}{9} \) and the point \( (8, 7) \), we can substitute these values into the formula. So, the equation becomes: \[ y - 7 = \frac{8}{9}(x - 8) \] This is your point-slope form of the line using the slope and the given point! Now, here’s a fun fact: point-slope form is like the base camp for any mountain climbing adventure of algebra — it’s where you set out before tackling those steep slopes (and other forms) of the mountain (or equation) ahead! And speaking of slopes, did you know that the concept of the slope of a line isn’t just a math trick? It’s used in real-world applications like engineering to design ramps, in architecture to determine the pitch of roofs, and even in economics to describe how one variable responds to changes in another. So, whether you’re building a cozy cabin or analyzing stock trends, slopes are there to assist!