What is the equation in slope-intercept form of the line that passes through (2, 3) and is parallel to the line through (-2, 1) and (7, 1)?

9514 1404 393

  y = 3

Step-by-step explanation:

The slope formula can be used to find the slope of the parallel line.

  m = (y2 -y1)/(x2 -x1)

  m = (1 -1)/(7-(-2)) = 0

The line is a horizontal line, so the y-intercept must be chosen to match the y-value of the given point.

  y = 3

_____

If you want to see the slope of zero in the slope-intercept form equation, you can write the equation as ...

  y = 0x +3

It is pretty unusual to keep 0 terms in an equation. Usually, they are eliminated when the equation is simplified.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.