Question

Write in point-slope form an equation of the line that passes through the given point and has the given slope.

3. ( 4, -2 ); m= 1/4
4. ( -3, 5 ); m= -4/3
5. ( 2, 2); m= -1
6. ( -1, -5); m= 4

Answer 1

The point-slope form:

$y-y_1=m(x-x_1)$

3. (4, -2); m = 1/4

$y-(-2)=\dfrac{1}{4}(x-4)\\\\\boxed{y+2=\dfrac{1}{4}(x-4)}$

4. (-3, 5); m = -4/3

$y-5=-\dfrac{4}{3}(x-(-3))\\\\\boxed{y-5=-\dfrac{4}{3}(x+3)}$

5. (2, 2); m= - 1

$\boxed{y-2-(x-2)}$

6. (-1, -5); m = 4

$y-(-5)=4(x-(-1))\\\\\boxed{y+5=4(x+1)}$