Question

Write the standard form of the equation of the line through the given point with the given slope. point (-1.0); slope -2/3​

Answer 1

Explanation:

When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)

which here becomes:

y - 0 = m(x + 1), or y = (-2/3)(x + 1), or y = (-2/3)x - 2/3

If you want this in standard form, first clear the fractions by multiplying all terms by 3: 3y = -2x - 2

Now add 2x to both sides, obtaining: 2x + 3y = -2 (in "standard form."