Answer:
[tex]y = -\frac{3}{8}x+5[/tex]
Step-by-step explanation:
The slope-intercept form of an equation is represented by the formula [tex]y = mx +b[/tex], in which the [tex]m[/tex] represents the slope and the [tex]b[/tex] represents the y-intercept of the line.
So, with the given information, we can write the equation of the line in slope-intercept form by substituting the given values into the appropriate places in the formula. All we need to do is substitute for [tex]m[/tex] and [tex]b[/tex]. Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{3}{8}[/tex] in its place in the formula. Since [tex]b[/tex] represents the y-intercept, substitute [tex]5[/tex] in its place in the formula. This gives the following equation and answer:
[tex]y = -\frac{3}{8}x+5[/tex]
