Use the slope <math><mstyle displaystyle="true"><mn>9</mn></mstyle></math> and a given point <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></mrow></mstyle></math> to substitute for <math><mstyle displaystyle="true"><msub><mi>x</mi><mrow><mn>1</mn></mrow></msub></mstyle></math> and <math><mstyle displaystyle="true"><msub><mi>y</mi><mrow><mn>1</mn></mrow></msub></mstyle></math> in the point-slope form <math><mstyle displaystyle="true"><mi>y</mi><mo>-</mo><msub><mi>y</mi><mrow><mn>1</mn></mrow></msub><mo>=</mo><mi>m</mi><mrow><mo>(</mo><mi>x</mi><mo>-</mo><msub><mi>x</mi><mrow><mn>1</mn></mrow></msub><mo>)</mo></mrow></mstyle></math> , which is derived from the slope equation <math><mstyle displaystyle="true"><mi>m</mi><mo>=</mo><mfrac><mrow><msub><mi>y</mi><mrow><mn>2</mn></mrow></msub><mo>-</mo><msub><mi>y</mi><mrow><mn>1</mn></mrow></msub></mrow><mrow><msub><mi>x</mi><mrow><mn>2</mn></mrow></msub><mo>-</mo><msub><mi>x</mi><mrow><mn>1</mn></mrow></msub></mrow></mfrac></mstyle></math> .

Simplify the equation and keep it in point-slope form.

Simplify <math><mstyle displaystyle="true"><mn>9</mn><mo>⋅</mo><mrow><mo>(</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>)</mo></mrow></mstyle></math> .

Rewrite.

Simplify by adding zeros.

Apply the distributive property.

Multiply <math><mstyle displaystyle="true"><mn>9</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Move all terms not containing <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> to the right side of the equation.

Add <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> to both sides of the equation.

Add <math><mstyle displaystyle="true"><mn>18</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

List the equation in different forms.

Slope-intercept form:

Point-slope form:

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