change the following equation of a line into slope-intercept form 5x+3y=-5
Question
change the following equation of a line into slope-intercept form 5x+3y=-5
Solution
The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.
To convert the given equation 5x + 3y = -5 into slope-intercept form, follow these steps:
- Start with the given equation: 5x + 3y = -5
- Isolate y by subtracting 5x from both sides of the equation: 3y = -5x - 5
- Divide every term by 3 to solve for y: y = -5/3x - 5/3
So, the equation of the line in slope-intercept form is y = -5/3x - 5/3.
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