Question

write an equation (a) in slope intercept form and (b) in standard form for the line passing through (-3,6) and parallel x+2y=5

Answer 1

Answer:

• y = -1/2x +9/2
• x +2y = 9

Step-by-step explanation:

(b) The given line is in standard form, so the equation you want will be similar, but with a different right-side constant. That constant is found by putting the coordinates of the given point into the left-side expression.

  x + 2y = constant

  (-3) +2(6) = constant = 9

The standard form equation of the parallel line is x +2y = 9.

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(a) To put this equation in slope-intercept form, solve for y.

  2y = -x +9

  y = (-1/2)x +9/2