Lines [12] Write an equation of the line with the given slope, \( m \), and \( y \)-intercept \( (0, b) \). \( m=9, b=5 \) The equation is .

To write the equation of a line in slope-intercept form, you can use the formula \( y = mx + b \). In this case, with a slope \( m = 9 \) and a \( y \)-intercept \( b = 5 \), the equation becomes \( y = 9x + 5 \). This means for every 1 unit you move to the right on the x-axis, the line rises by 9 units! If you're plotting this line, start at the point (0, 5) on the y-axis. From there, for every step to the right (increase in x), move 9 steps up in the y-direction to locate another point on the line. This sweeping rise is not just a fun way to visualize; it also represents real-life situations, such as speed versus time in a car that accelerates steadily!