Question

Help me with this question

Answer 1

Given two points coordinate

`(2,-4)\text{ and (-3,-3)}`

The equation of the line in slope-intercept form can be obtained using

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Define the x and y values, then substitute in the above formula

`x_1=2,y_1=-4,x_2=-3,y_2=-3`
`\begin{gathered} y-(-4)=(-3-(-4))/(-3-2)(x-2) \\ y+4=(-3+4)/(-5)(x-2) \\ y+4=-(1)/(5)(x-2) \end{gathered}`
`\begin{gathered} y+4=-(1)/(5)x+(2)/(5) \\ y=-(1)/(5)x+(2)/(5)-4 \\ y=-(1)/(5)x-(18)/(5) \end{gathered}`

Hence, Option C is the correct answer