Question

Write the point-slope form of the equation of the line through the given point woth the given slope

1.) through (-5,-3), slope = 6/5
2.) through (-2,-5), slope= 2
3.) throught (1,4), slope 4

Answer 1

3.)
`\displaystyle y - 4 = 4[x - 1]`

2.)
`\displaystyle y + 5 = 2[x + 2]`

1.)
`\displaystyle y + 3 = 1(1)/(5)[x + 5]`

Explanation:

In the Point-Slope Formula,
`\displaystyle y - y_1 = m[x - x_1],`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.

*
`\displaystyle 1(1)/(5) = (6)/(5)`

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