Write the equation of a line in slope-intercept form with a slope of 3 that passes through the point (2, 5).

To find the equation of the line in slope-intercept form (y = mx + b) with a slope (m) of 3 and passing through the point (2, 5), we can substitute the values into the formula. We first use the given point to solve for b (the y-intercept): 5 = 3(2) + b 5 = 6 + b b = 5 - 6 b = -1 Now we can write the equation: y = 3x - 1. --- Did you know that slope-intercept form is super handy for quickly sketching graphs of linear equations? With the slope (3 in this case), you can rise 3 units up for every 1 unit you run to the right. This gives you the direction of the line—steeper slopes mean sharper climbs! Also, if you're looking to get more comfortable with these concepts, consider exploring graphing calculators or online graphing tools. They can visually illustrate how changing the slope and y-intercept affects the line, making it a breeze to understand the relationships between the components of the equation!