Find the Equation with a Point and Slope What is the equation of the line that passes through the point (6,-8) and has a slope of -2/3 ?

What is the equation of the line that passes through the point <math><mstyle displaystyle="true"><mrow><mo>(</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>8</mn><mo>)</mo></mrow></mstyle></math> and has a slope of <math><mstyle displaystyle="true"><mo>-</mo><mfrac><mrow><mn>2</mn></mrow><mrow><mn>3</mn></mrow></mfrac></mstyle></math> ?

Use the formula for the equation of a line to find <math><mstyle displaystyle="true"><mi>b</mi></mstyle></math> .

Substitute the value of <math><mstyle displaystyle="true"><mi>m</mi></mstyle></math> into the equation.

Substitute the value of <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> into the equation.

Substitute the value of <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> into the equation.

Find the value of <math><mstyle displaystyle="true"><mi>b</mi></mstyle></math> .

Rewrite the equation as <math><mstyle displaystyle="true"><mo>-</mo><mfrac><mrow><mn>2</mn></mrow><mrow><mn>3</mn></mrow></mfrac><mo>⋅</mo><mn>6</mn><mo>+</mo><mi>b</mi><mo>=</mo><mo>-</mo><mn>8</mn></mstyle></math> .

Simplify each term.

Cancel the common factor of <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

Move the leading negative in <math><mstyle displaystyle="true"><mo>-</mo><mfrac><mrow><mn>2</mn></mrow><mrow><mn>3</mn></mrow></mfrac></mstyle></math> into the numerator.

Factor <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

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

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

Add <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> to both sides of the equation.

Add <math><mstyle displaystyle="true"><mo>-</mo><mn>8</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> .

Now that the values of <math><mstyle displaystyle="true"><mi>m</mi></mstyle></math> (slope) and <math><mstyle displaystyle="true"><mi>b</mi></mstyle></math> (y-intercept) are known, substitute them into <math><mstyle displaystyle="true"><mi>y</mi><mo>=</mo><mi>m</mi><mi>x</mi><mo>+</mo><mi>b</mi></mstyle></math> to find the equation of the line.

Do you know how to Find the Equation with a Point and Slope What is the equation of the line that passes through the point (6,-8) and has a slope of -2/3 ?? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | four hundred eighteen million six hundred fifty-four thousand seven hundred thirty-one |
---|

- 418654731 has 16 divisors, whose sum is
**471719808** - The reverse of 418654731 is
**137456814** - Previous prime number is
**41**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 39
- Digital Root 3

Name | one billion four hundred seventy-five million one hundred two thousand two hundred twelve |
---|

- 1475102212 has 16 divisors, whose sum is
**3319615152** - The reverse of 1475102212 is
**2122015741** - Previous prime number is
**5683**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 25
- Digital Root 7

Name | one billion one hundred fifty-one million four hundred ninety thousand two hundred fifty-four |
---|

- 1151490254 has 16 divisors, whose sum is
**1752779520** - The reverse of 1151490254 is
**4520941511** - Previous prime number is
**491**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 32
- Digital Root 5