Write the equation of the line in slope-intercept form if it passes through the point (2, 5) with a slope of -1.

To write the equation of the line in slope-intercept form (y = mx + b), you can start with the slope (m) of -1 and use the point (2, 5) to find the y-intercept (b). Plug the values into the equation: 5 = -1(2) + b 5 = -2 + b b = 5 + 2 b = 7 Now, substitute the slope and y-intercept back into the equation: y = -1x + 7 or y = -x + 7. Did you know that slope-intercept form is super handy? It's like a quick visualization tool! Slope indicates the steepness and direction of the line. A negative slope means it's descending as you move to the right. So, in our case, your line slopes downward, starting from a y-intercept of 7, which means it crosses the y-axis at (0, 7). In real life, this kind of equation can represent anything from predicting trends in sales or population growth to modeling the speed of a vehicle over time. For instance, if a car is driving downhill at a constant rate (negative slope), the y-intercept could represent its starting altitude! It’s cool to see how math helps us understand the world around us!