A straight line ,L, passes through the points (2,9) and (3,5) Find the equation of the line L.
1 answer:
Answer:
y-9=-4(x-2) or y=-4x-1
Step-by-step explanation:
First we must find the slope. Using the slope formula (diff y/diff x), we plug in using the given points;
(9-5)/(2-3)
=>4/-1 or just -4
Now, using the point slope formula, pick any point and plug into the formula y-y_1=m(x-x_1);
y-9=-4(x-2)
You can leave it just as this, if it asks specifically for slope-intercept form (y=mx+b) then just expand and simplify;
y-9=-4x+8
=> y=-4x-1
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