Question

What is the equation of the graphed line in point-slope form?

y – 1 = (x + 3)
y – 1 = (x – 3)
y + 1 = (x – 3)
y + 1 = (x + 3)

Answer 1

We first need to find the gradient of the line
$\frac{y_{2}- y_{1} } {x_{2}-x_{1} } = \frac{-3-1}{-3-3}= \frac{-4}{-6}= \frac{2}{3}$

From the graph, we see the graph intercepts y-axis at -1

Hence, the equation of the line is $y= \frac{2}{3}x-1$

Answer 2

First you do the distributive property and then you have to use the inverse property of each equation and after all the math the answer is y-1= 2/3(x-3)


P.S: Next time you may want to add the fractions in the possible answers