Answer: y = -3/4 + 5
Slope-intercept form: y = mx + b
^ ^
m is the slope b is the y-intercept
Since -3/4 is the slope of the line, the equation is y = -3/4x + b.
Solve for b, the y-intercept, by substituting in 8 for x and -1 for y.
y = -3/4x + b Substitution
-1 = -3/4(8) + b Multiply -3/4 and 8
-1 = -6 + b Add 6 to both sides
b = 5 y-intercept!
Substitute in the y-intercept, 5, back into y = -3/4 + b.
y = -3/4 + 5