Question

A line passes through (-2, 5) and has a slope of 1/3. What is the equation of the line in point-slope form?A. y+2=1/3(×-5)B. y-5=1/3(x+2)C. y=1/3x+17/3D. y+5=1/3(x-2)

Answer 1

the equation of a line is:

`y=mx+b`

where m is the slope and b is the intercept with the y axis so we can replace the coordinate and the slope to find b so:

`5=(1)/(3)(-2)+b`

and we solve for b so:

`\begin{gathered} 5+(2)/(3)=b \\ (17)/(3)=b \end{gathered}`

so the equation will be:

`y=(1)/(3)x+(17)/(3)`