Question

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

Answer 1

Answer:

The equation is y = (-4/5)x + 2/5.

Step-by-step explanation:

In a slope form equation, y = mx + b where m represents gradient/slope and b is the y-intercept. Given that the slope is -4/5 so you have to find the value of b by substituing the coordinates into the equation :

$y = - \frac{4}{5} x + b$

$let \: x = 3,y = - 2$

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

$- 2 = - \frac{12}{5} + b$

$b = - 2 + \frac{12}{5}$

$b = \frac{2}{5}$

$y = - \frac{4}{5} x + \frac{2}{5}$