Question

point-slope form practice
write the slope-intercept form of th

1. $y + 1 = \frac{5}{3}(x + 3)$
2. $y + 4 = -9(x - 1)$

Explanation:

Step1: Expand the right-hand side

1. $y + 1 = \frac{5}{3}x + \frac{15}{3}$
2. $y + 4 = -9x + 9$

Step2: Simplify constants

1. $y + 1 = \frac{5}{3}x + 5$
2. $y + 4 = -9x + 9$

Step3: Isolate y

1. $y = \frac{5}{3}x + 5 - 1$
2. $y = -9x + 9 - 4$

Step4: Calculate final constants

1. $y = \frac{5}{3}x + 4$
2. $y = -9x + 5$

Answer:

1. $y = \frac{5}{3}x + 4$
2. $y = -9x + 5$