Question

When it is easier to use the point-slope form to write the equation of a line and when it is easier to use the slope-intercept form?

Answer 1

Step 1. Explain when to use the point-slope form.

The point-slope form of the equation of the line is $y-y_1=m\left(x-x_1\right)$. To write the equation in point-slope form, there shoud be given slope $m$and one point$\left(x_1,y_1\right)$.

Therefore, if one point and the slope are given, it is easier to use the point-slope form to write the equation of line.

Step 2. Explain when to use the slope-intercept form.

The slope-intercept form is $y=mx+b$. Where $m$is slope and $b$ is $y-$intecept. So, to write the equation of line, there should be a slope and a $y-$intercept.

Therefore, while slope and $\mathit{y}\mathbf{-}$intercept is given, it's easier to use the slope-intercept form to write the equation of line.