Find the equation of the line parallel to 7y+2x-10=0 that passes through the point (2,2)

Parallel lines have the same slope.

We have the general form of line. Transform to the slope-intercept form:

m - slope, b - y-intercept

     subtract 2x from both sides

      add 10 to both sides

      divide both sides by 7

Therefore we have: .

The line passes through the point (2, 2). Substitute the coordinates of the point to the equation of a line:

     add to both sides

    multiply both sides by 7

      subtract 7y from both sides

     change the signs

 slope-intercept form

  general form

d

step-by-step explanation: