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Give the point (2,1) and the slope -3 write and equation in standard form. What is the x-intercept? What is the y-intercept?

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2 Answers

Standart form:

y=mx+n where m is slope, and n is y intercept

y=-3x+n

(2,1) has to right for this equation

x=2, y=1

1=-3*2+n

1=-6+n

1+6=-6+6+n

n=7

y - y1 = m(x - x1) ; (x,0) - x-intercept, (0,y) - y-intercept.
~~~~~~~~~~~~
y - 1 = -3(x - 2) ----> y - 1 = -3x + 6
                                y + 3x = 6 + 1
                               3x + y = 7 -standard form
3x + 0 = 7 ---> x = 7/3 ----> (7/3 , 0) - x-intercept
3*0 + y = 7 ----> y = 7 ---->  (0 , 7)   - y-intercept