Question

Write the point slope form of the equation of the line through the given points.

EXPLAIN AND SHOW WORK! Please and thanks.

through: (5, -3) and (0, 3)

Answer 1

`\displaystyle y - 3 = -1(1)/(5)x\:OR\:y + 3 = -1(1)/(5)x - 5`

Explanation:

First, find the rate of change [slope]:

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ (3 + 3)/(-5 ± 0) = -(6)/(5) = -(1)/(5)`

Then plug these coordinates into the Point-Slope Formula Remember, in this formula, all the negative symbols give the OPPOSITE terms of what they really, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS. It does not matter which ordered pair you choose:

`\displaystyle y - y_1 = m[x - x_1] \\ \\ y - 3 = -1(1)/(5)x\:OR\:y + 3 = -1(1)/(5)x - 5`

I am joyous to assist you anytime.