of Lines [12] Write an equation of the line with the given slope, \( m \), and \( y \)-intercept \( (0, b) \). \[ m=-\frac{1}{4}, \mathrm{~b}=\frac{7}{10} \] W

To write the equation of a line in slope-intercept form \( y = mx + b \), you simply plug in the slope \( m \) and the y-intercept \( b \). In this case, with a slope of \( -\frac{1}{4} \) and a y-intercept of \( \frac{7}{10} \), the equation becomes \( y = -\frac{1}{4}x + \frac{7}{10} \). Voila! You have your line. Now, think about how lines appear on a graph—the slope tells you how steep the line is, while the y-intercept shows where the line crosses the y-axis. A negative slope means that your line will tilt downwards from left to right. Picture a downhill path—you know you're going to need those walking sticks!