GutsnGlory
Answered

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

y – 3 = –4/5 (x + 2)

y – 2 = 4/5 (x – 3)

y + 2 = –4/5 (x – 3)

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

Verified Answer :

royalranger

The third option: 

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

isyllus

Answer:

\(y+2=-\frac{4}{5}(x-3)\)

C is correct equation.

Step-by-step explanation:

We are given a point and slope of a line. Using point slope form formula to find the equation of line and match the correct option.

Formula:

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

where,

\(slope (m)=-\frac{4}{5}\)

\(Point:(x_1,y_1)\rightarrow (3,-2)\)

Equation of line:

\(y-(-2)=-\frac{4}{5}(x-3)\)

\(y+2=-\frac{4}{5}(x-3)\)

Thus, C is correct equation of given information.

Related Questions