SOLUTION: A line’s equation is given in point-slope form: y=(-2/9)(x+9)+1 This line’s slope is -2/9 What is a point on this line that is apparent from the given equation? *I've

Algebra ->  Linear-equations -> SOLUTION: A line’s equation is given in point-slope form: y=(-2/9)(x+9)+1 This line’s slope is -2/9 What is a point on this line that is apparent from the given equation? *I've       Log On


   



Question 1203670: A line’s equation is given in point-slope form: y=(-2/9)(x+9)+1
This line’s slope is -2/9
What is a point on this line that is apparent from the given equation?
*I've tried (0,-1), (-9/2,0), (-2,-5/9) but all these answers are wrong.

Found 3 solutions by josgarithmetic, MathTherapy, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Equation as given or shown, y=%28-2%2F9%29%28x%2B9%29%2B1.

The apparent point may seem more easily apparant this way:
y-1=-%282%2F9%29%28x%2B9%29
which is point-slope form (almost) and there is a point to read from this as (-9,1).

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
 line’s equation is given in point-slope form: y=(-2/9)(x+9)+1

This line’s slope is -2/9

What is a point on this line that is apparent from the given equation?

*I've tried (0,-1), (-9/2,0), (-2,-5/9) but all these answers are wrong


Point-slope form of a linear equation: matrix%281%2C3%2C+y+-+y%5B1%5D%2C+%22=%22%2C+m%28x+-+x%5B1%5D%29%29   

For y = %28-2%2F9%29(x + 9) + 1, we need to subtract 1 from both sides of the equation. 
When done, y = %28-2%2F9%29(x + 9) + 1 becomes: matrix%281%2C3%2C+y+-+1%2C+%22=%22%2C+%28-+2%2F9%29%28x+%2B+9%29%29  
                            Compared to: matrix%281%2C3%2C+y+-+y%5B1%5D%2C+%22=%22%2C+m%28x+-+x%5B1%5D%29%29, we see that: 
                                          , and also: 
Therefore, (x1, y1) = (- 9, 1). This is your point on the line, from the given equation.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


y=%28-2%2F9%29%28x%2B9%29%2B1

There is no need to move the 1 to the left to answer the question.

The point on the line that is "apparent" from the given equation is the point where the value of x makes "(-2/9)(x+9)" equal to 0 (i.e., x=-9), in which case the y value will be (-2/9)(0)+1 = 0+1 = 1.

ANSWER: (x,y) = (-9,1)