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 :
[tex]y = - \frac{4}{5} x + b[/tex]
[tex]let \: x = 3,y = - 2[/tex]
[tex] - 2 = - \frac{ 4}{5} ( 3) + b[/tex]
[tex] - 2 = - \frac{12}{5} + b[/tex]
[tex]b = - 2 + \frac{12}{5} [/tex]
[tex]b = \frac{2}{5} [/tex]
[tex]y = - \frac{4}{5} x + \frac{2}{5} [/tex]
