Question

If a line passes through the points (2, 5) and (-1, -1), equation of the line is .

• A. $3x-2y+1=0$
• B. $2x-y-1=0$
• C. $2x-y+1=0$

Answer 1

The correct option is C $2x-y+1=0$

Given: Points (2, 5) and (-1, -1)

We know that the slope of the line passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{y_2-y_1}{x_2-x_1}$.
So, slope of the line(m) = $\frac{-1-5}{-1-2}$
Slope of the line(m) = $\frac{-6}{-3}$
Slope of the line(m) = 2

Equation of the line: $y-y_1=m(x-x_1)$
Equation of the line: $y-5=2(x-2)$
Equation of the line: $y-5=2x-4$
Equation of the line: $2x-y+1=0$