Question

Write in point-slope form an equation of the line that

passes through the given point and has the given slope.
1. (1, 5); m = 2
2. (-2, 4); m = -3
3. (4, 2); m
= 3
4. (-1, 5); m = -2
5. (2, -4); m = -3
6. (-5, 1); m = 2​

Answer 1

6.
`\displaystyle y - 1 = 2(x + 5)`

5.
`\displaystyle y + 4 = -3(x - 2)`

4.
`\displaystyle y - 5 = -2(x + 1)`

3.
`\displaystyle y - 2 = 3(x - 4)`

2.
`\displaystyle y - 4 = -3(x + 2)`

1.
`\displaystyle y - 5 = 2(x - 1)`

Explanation:

In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.