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Sagot :
Solution:
We know that:
- Slope intercept form: y = mx + b
- Given equation: 2y + 7 = 3(x + 5)
Simplify the distributive property.
- 2y + 7 = 3(x + 5)
- => 2y + 7 = 3x + 15
According to the slope intercept form formula, all the constants should be on the RHS side. Let's do the same with this equation.
Subtract 7 both sides
- 2y + 7 - 7 = 3x + 15 - 7
- => 2y = 3x + 8
Since 2y = 3x + 8 must be in y = mx + b form, we need to isolate the coefficient of y. To isolate the coefficient of y, divide both sides by 2.
Divide 2 both sides.
- 2y/2 = 3x/2 + 8/2
- y = 1.5x + 4
The slope intercept form of 2y+7=3(x+5) is y = 1.5x + 4.
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