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)=(1)/(4)(x-4)\\\\\boxed{y+2=(1)/(4)(x-4)}`

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

`y-5=-(4)/(3)(x-(-3))\\\\\boxed{y-5=-(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)}`