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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 :

the equation of a line is:

[tex]y=mx+b[/tex]

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:

[tex]5=\frac{1}{3}(-2)+b[/tex]

and we solve for b so:

[tex]\begin{gathered} 5+\frac{2}{3}=b \\ \frac{17}{3}=b \end{gathered}[/tex]

so the equation will be:

[tex]y=\frac{1}{3}x+\frac{17}{3}[/tex]

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