y-intercept: First, find the y-intercept: it crosses the y-axis at 5 so b = 5
slope: Next, find the slope by counting the rise over run from the y-intercept to another point: the point they provided is (3, 0), which which is down 5 and to the right 3 so m = [tex]-\frac{5}{3}[/tex]
slope-intercept form: Then, insert m = [tex]-\frac{5}{3}[/tex] and b = 5 into the slope-intercept equation: y = mx + b, so y = [tex]-\frac{5}{3}x[/tex] + 5
standard form: The standard equation Ax + By = C can be found by multiplying everything by the denominator and moving Ax and By to one side and the number to the other side. Remember that Ax must be positive.
y = [tex]-\frac{5}{3}x[/tex] + 5
3(y) = [tex](3)-\frac{5}{3}x[/tex] + (3)5
3y = -5x + 15
+5x +5x
5x + 3y = 15
Answers: m = [tex]-\frac{5}{3}[/tex], b = 5, y = [tex]-\frac{5}{3}x[/tex] + 5, 5x + 3y = 15
