Answer:
The equation in the slope-intercept form is:
Step-by-step explanation:
Given the equation
[tex]-2(3x+5y)=10[/tex]
We know that the slope-intercept form of a line equation is
[tex]y = mx+b[/tex]
where
Writing the equation in slope-intercept form
-2(3x+5y)=10
-6x -10y = 10
Add 6x to both sides
-6x -10y + 6x = 10 + 6x
-10y = 10 + 6x
Divide both sides by -10
-10y / -10 = (10 + 6x) / -10
y = -3/5x - 1
Thus, the equation in the slope-intercept form is: