Find an equation of the line through (-6, 10), parallel to the line with equation 3x - 7y = 14. Write the new equation in point-slope form. Convert the equation of the new line found in problem #14 to standard form, Ax + By = C, where A, B, and C are integers. Solution 14) Given line is 3x-7y =14 7y = 3x-14 y = (3/7)x - 2 It is of the form, y = mx + c Hence, slope = 3/7 We know that two parallel lines have same slope. Hence, The equation parallel to 3x-7y =14 has slope equal to 3/7. Hence, the required line passing through (-6,10) and parallel to 3x-7y=14 in slope-point form is slope point formula is y-y1= m (x-x1) y-10 = (3/7) (x+6) 15) From 14) , y-10 = (3/7) (x+6) 7y-70 = 3x+18 3x-7y = -88 It is of the form Ax + By = C.