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Answer:
The equation in the slope-intercept form is:
- y = -3/5x - 1
Step-by-step explanation:
Given the equation
We know that the slope-intercept form of a line equation is
where
- m is the slope
- b is the y-intercept
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:
- y = -3/5x - 1