Question

represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

Answer 1

Answer:

$y = \frac{4}{5} x - \frac{22}{5}$

Step-by-step explanation:

$y = mx + b$

$- 2 = \frac{4}{5} (3) + b \\ - 2 = \frac{12}{5} + b \\ - 2 - \frac{12}{5} = b \\ - \frac{10}{5} - \frac{12}{5} = b \\ - \frac{22}{5} = b$

Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is

$y = \frac{4}{5} x - \frac{22}{5}$