PLZ HELP ;((( A line passes through the points (k + 10,-2k – 1) and (2,9) and has a y-intercept
of 10. Find the value of k and the equation of the line.
solve for all 3 equations

The value of k is -4 and the equation of the line is .

Step-by-step explanation:

The equation of the line is defined by the following formula:

(1)

Where:

- Independent variable.

- Dependent variable.

- y-Intercept.

- Slope.

In addition, the slope of the equation of the line () can be known from two distinct points:

(2)

Where and are the coordinates of the reference point.

By applying (2) in (1), we derive the resulting expression:

(3)

If we know that , , , and , then the value of is:

The value of the slope is:

The equation of the line is .

The admixture of words and math symbols must be rewritten to allow processing towards a correct answer.

Step-by-step explanation:

Use brackets [ ] and up carrot symbol (^, obtained by pushing the shift key at same time as 6 key) to rewrite the question. The order of operations called GEMA (Grouping, Exponents, Multiplication and Division from left to right and then Addition and Subtraction from left to right) can only be done once the symbols are placed to match the textbook question. Math is a language and its symbols must be used in place of words to assure the correct result.