x coordinate

Question

Two points on a line are (0,2) and (6,6). if the y coordinate of another point on the line -3, what is the x coordinate?

Answer 1

(0,2) and (6,6)

Step 1. Here we need to find slope that is m.

      y_2-y_{1              6-2         4       2}

m=--------- = ------= ---=-----

       x₂-x_{1             6-0         6       3}

 

 Given y=-3 .

 

       y-y1         -3-2         -5
m=--------- = ------- = ---
       x-x1          x-0.           x

Step 2. Compare the slope values.

(y2-y1)/(x2-x1)=(y-y1)/(x-x1)

2/3 = -5/x

Use cross multiplication method and substitute  the equation.

x= -15/2= -7.5

The value of x=-7.5 when y=-3.

Answer 2

Crystal

 

Begin by determining the equation of the line

From the two point we can calculate the slope

 

y₂-y₁

------

x₂-x₁

 

(6-2)/(6-0) = 4/6 = 2/3

 

Then we use the point-slope form of an equation of a line

y - y₁ = m(x-x₁)

y-6 = (2/3)(x-6)

y-6 = (2/3)x - 4

y = (2/3)x + 2

 

To find x when y= -3, set this equation equal to -3 and solve for x

 

-3 = (2/3) x + 2

-5 = (2/3) x

x = -7.5

Answer 3

the slope of the line is (6 - 2)/(6 - 0) = 4/6 = 2/3 

 

That's because slope is defined as rise over run, or the difference of the y-coordinates divided by the difference of the x-coordinates

 

Now, consider the point (x , -3)

 

m = slope = 2/3 = (-3 - 2)/(x - 0) = -5/x

 

2/3 = -5/x

 

-15 = 2x

 

x = -15/2