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On the graph of the equation 2x + 5y = −30, what is the value of the y-intercept?
2 answers:
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Answer:
The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The formula of the slope of a line is
∵ Grant's path is a line from point A to point B
∴ The equation of AB represents Grant's path
Lets find the slope of AB using the formula of the slope above
∵ A = (8 , 0)
∵ B = (-4 , 6)
∴ = 8 and
= -4
∴ = 0 and
= 6
∵
∴
Substitute the value of m in the form of the equation
∵ y = m x + b
∴ y = x + b
∵ b is the value of y at x = 0
∵ y = 4 at x = 0 ⇒ from the figure
∴ b = 4
∴ y = x + 4
We can write x as
∴ y = + 4
- Switch the two terms of the right hand side
∴ y = 4 -
The equation of Grant's path is y = 4 -