Question

A line passes throught (1, -3) and (-4, 2) Write the equation of the line in slope-intercept from

• A. y - 4 = x
• B. y = -x - 2
• C. y = x - 4
• D. y - 2 = x
• E. none of these

Answer 1

The correct option is B y = -x - 2

Let the equation of the line be $y=mx+c$

The line passses through $(1,-3)$ and $(-4,2)$

$\therefore -3=m\left(1\right)+c$

$=>-3=m+c$ (i)

$\therefore 2=-4m+c$ (ii)

Subtracting (ii) from (i) we get,

$(-3-2)=(m-(-4m\left)\right)$

$=>-5=5m$

$=>m=-1$

Substitute the value in (i) we get,

$-3=-1+c$

$=>c=-2$

$\therefore$ Equation of line is

$y=-x-2$

$=>x+y+2=0$

$=>y=-x-2$