Question

Which point-slope equation represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

Answer 1

Answer: y+2=-4/5(x-3)

Step-by-step explanation:got it right on edgy

Answer 2

`(y+2)=(4)/(5)(x-3)` is the point slope form

Explanation:

Slope of the line is 4/5 and given point is (3,-2)

We apply point slope formula to find the equation of the line

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

where m is the slope and (x1,y1) is the given point

`(y+2)=(4)/(5)(x-3)`

Multiply the fraction inside the parenthesis

`y+2=(4)/(5)x-(12)/(5)`

Now subtract 2 from both sides

`y=(4)/(5)x-(22)/(5)`