The problem asks us to find the slope and y-intercept of the given equation $5x + 4y = 32$. The slope is already provided as $-\frac{5}{4}$. We need to find the y-intercept.

AlgebraLinear EquationsSlopeY-intercept
2025/3/6

1. Problem Description

The problem asks us to find the slope and y-intercept of the given equation 5x+4y=325x + 4y = 32. The slope is already provided as 54-\frac{5}{4}. We need to find the y-intercept.

2. Solution Steps

The given equation is 5x+4y=325x + 4y = 32.
To find the y-intercept, we set x=0x = 0 and solve for yy.
5(0)+4y=325(0) + 4y = 32
0+4y=320 + 4y = 32
4y=324y = 32
y=324y = \frac{32}{4}
y=8y = 8
The y-intercept is the point (0,8)(0, 8).

3. Final Answer

(0,8)(0, 8)

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