The equation you've provided is a linear equation in two variables, \( x \) and \( y \). We can express it in various forms, such as finding the slope-intercept form or obtaining particular values for \( x \) and \( y \).
Slope-Intercept Form
To convert the equation \( 8x - 15y = 18 \) into slope-intercept form (\( y = mx + b \)):
- Isolate \( y \): \[ -15y = -8x + 18 \] \[ y = \frac{8}{15}x - \frac{18}{15} \] \[ y = \frac{8}{15}x - \frac{6}{5} \]
Slope and Intercept
From this, we can identify:
- The slope \( m = \frac{8}{15} \)
- The y-intercept \( b = -\frac{6}{5} \)
Finding Specific Points
If you'd like to find specific values for \( x \) and \( y \), you can choose a value for one variable and solve for the other.
For example:
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Let \( x = 0 \) (to find the y-intercept): \[ 8(0) - 15y = 18 \implies -15y = 18 \implies y = -\frac{18}{15} = -\frac{6}{5} \] So, one point is \( (0, -\frac{6}{5}) \).
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Let \( y = 0 \) (to find the x-intercept): \[ 8x - 15(0) = 18 \implies 8x = 18 \implies x = \frac{18}{8} = \frac{9}{4} \] So, another point is \( (\frac{9}{4}, 0) \).
If you need further assistance or a different approach, feel free to ask!