a line goes through the ordered pairs (8,-3) and (-4,6). Write an equation in Point-slope form, slope intercept form and standard form

Question

owlfred · Answer

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radar · Answer

The slope is equal to :$$\Delta y \over \Delta x$$
then slope is:  $$6-(-3) \over -4-8$$ slope or m = 9/-12=- 3/4
Using the formula for a line, y=mx+b. we can take your given point (-4,6) and plug in the values that we now have:
6=-3/4 (-4) +b  solving for b, 6=3+b  or b=3 the equation is   y=-3/4 (x)+3 
that is known as the slope intercept form.

radar · Answer

$$(y-y _{1})=-3/4(x-x _{1})$$This is the point slope form, just plug in the x,y from your favorite point.

radar · Answer

like (y-6)= -3/4(x-(-4))

radar · Answer

Standard form would be for your line -3/4 (x)-y+3=0 in the form of
Ax+By+C=0

radar · Answer

Hope you follow this with comprehension and that it proved helpful.