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

To create the equation of a line in the slope-intercept form \( y = mx + b \), simply plug in your values for the slope \( m \) and the y-intercept \( b \). Here, with a slope of \( -\frac{1}{4} \) and a y-intercept of \( \frac{7}{10} \), the equation becomes \( y = -\frac{1}{4}x + \frac{7}{10} \). This equation tells you that for every unit you move right along the x-axis, the line will drop \( \frac{1}{4} \) units. The line intersects the y-axis at \( \frac{7}{10} \), giving it a clear upward start despite its negative slope!