The graph of the equation 8x–5y=14 passes through a point with an abscissa of 1.2. Find the ordinate of the point.
I got .8 repeating but my teacher said that it was wrong. I then got 9.6 and it was also wrong. what am I doing wrong and can you put the answer with the explanation please.
Substitute 1.2 for x and solve for y:
8(1.2) - 5y = 14
9.6 - 5y = 14
-5y = 4.4
y = -0.88
nontheless u r a lifesaver. a legit life saver. my dad coulda died but the trajectory and the answer to this equation woulda saved him. So thx for saving my paps.......lol......but seriously thx for this answer
To find the ordinate of the point where the graph of the equation passes through, we can substitute the given abscissa into the equation and solve for the corresponding ordinate.
The equation given is 8x - 5y = 14.
Let's substitute the abscissa, which is 1.2, into the equation:
8(1.2) - 5y = 14
Simplifying, we have:
9.6 - 5y = 14
Now, let's isolate the term with y:
-5y = 14 - 9.6
-5y = 4.4
Next, divide both sides of the equation by -5 to solve for y:
y = 4.4 / -5
y = -0.88
The ordinate of the point is -0.88.
Therefore, your teacher's response that the answer is incorrect may have been due to a decimal place error in your calculations. The correct ordinate is -0.88, not 0.8 repeating or 9.6.
To find the ordinate (y-coordinate) of a point on the graph of the equation 8x - 5y = 14, you need to plug in the given abscissa (x-coordinate) into the equation and solve for y.
Starting with the equation: 8x - 5y = 14
Step 1: Substitute the given x-coordinate into the equation.
Let's use the abscissa of 1.2: 8(1.2) - 5y = 14
Step 2: Simplify the equation by multiplying and performing the subtraction.
9.6 - 5y = 14
Step 3: Isolate the variable term by subtracting 9.6 from both sides of the equation.
-5y = 14 - 9.6
-5y = 4.4
Step 4: Solve for y by dividing both sides of the equation by -5.
y = 4.4 / -5
y = -0.88
So, the ordinate (y-coordinate) of the point on the graph with an abscissa (x-coordinate) of 1.2 is -0.88.
It seems that the correct answer is not .8 repeating nor 9.6 as you initially thought. The correct answer is -0.88. Please double-check your calculations to identify the mistake you made along the way.