Question

The equation is __ ( type your answer in standard form)

Answer 1

First, find the slope of the line between the two points using

     $m = \dfrac{y_2-y_1}{x_2-x_1}$

Then use one point to calculate the b for  $y=mx+b$.

Step 1: slope

   $\begin{aligned}m&=\dfrac{7-4}{-4-2}\\[0.5em]&=\dfrac{3}{-6}\\[0.5em]&=-\dfrac{1}{2}\end{aligned}$

Step 2: calculate b

Right now we have $y=\frac{1}{2}x+b$, so we'll plug in (2,4) for the x and y:

    $\begin{aligned}\\4&=-\frac{1}{2}(2)+b\\[0.5em]4&=-1+b\\[0.5em]5&=b\end{aligned}$

Now we build our slope-intercept equation: $y=-\frac{1}{2}x+5$

But, this isn't standard form.  We need to clear out the fraction and then move the x-term to the left.

Can you take it from there?

Answer 2

Answer:

In standard form, the answer should be : 2y + x = 6.

Step-by-step explanation:

See attached image.