Question: Rewrite the following equation in slope-intercept form. 9x + 15y - 3 = 0 Write your answer using…

Rewrite the following equation in slope-intercept form.

9x + 15y - 3 = 0

Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Solution

To rewrite the equation in slope-intercept form, we need to solve for \( y \) in terms of \( x \). Start with the given equation: \[ 9x + 15y - 3 = 0 \] Add 3 to both sides: \[ 9x + 15y = 3 \] Subtract \( 9x \) from both sides to isolate the \( y \) term: \[ 15y = -9x + 3 \] Divide every term by 15 to solve for \( y \): \[ y = -\frac{9}{15}x + \frac{3}{15} \] Simplify the fractions: \[ y = -\frac{3}{5}x + \frac{1}{5} \] The equation in slope-intercept form is: \[ y = -\frac{3}{5}x + \frac{1}{5} \]