First, find the slope of the line between the two points using
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Then use one point to calculate the b for [tex]y=mx+b[/tex].
Step 1: slope
[tex]\begin{aligned}m&=\dfrac{7-4}{-4-2}\\[0.5em]&=\dfrac{3}{-6}\\[0.5em]&=-\dfrac{1}{2}\end{aligned}[/tex]
Step 2: calculate b
Right now we have [tex]y=\frac{1}{2}x+b[/tex], so we'll plug in (2,4) for the x and y:
[tex]\begin{aligned}\\4&=-\frac{1}{2}(2)+b\\[0.5em]4&=-1+b\\[0.5em]5&=b\end{aligned}[/tex]
Now we build our slope-intercept equation: [tex]y=-\frac{1}{2}x+5[/tex]
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?
