Question

Need help for this. Math Alg

Answer 1

Answer:

y = 2x - 3

Step-by-step explanation:

Since the equation for the line y = 2x + 5 is already in slope-intercept form (y = mx + b), the slope (m) is 2. A parallel line will have the same slope. Now use point-slope formula to find an equation for the parallel line including point (3,3). Point-slope formula is:  

(y – y₁) = m(x – x₁), where m is the slope (2) and (x₁, y₁) is the point the line passes through (3,3).  

Therefore:  

(y – 3) = 2 (x – 3)

y – 3 = 2x – 6

y – 3 + 3 = 2x – 6 + 3

y = 2x - 3