Answer: Okay, the answer is x^2/68+(y+3)^2/17=1.
Step-by-step explanation: Step. 1 Complete the square for 4y^2+24y: 4(y+3)^2−36.
Step 2. You’ll need to substitute 4(y+3)^2−36 for 4y^2+24y in the equation x^2+4y^2+24y=32: x^2+4(y+3)^2–36=32.
Step 3. So you’ll need to move –36 to the right side of the equation by adding 36 to the both sides: x^2+4(y+3)^2=32+36.
Step 4 You add 32 and 36: x^2+4(y+3)^2=68.
Step 5. You divide each term by 68 to make the right side equal to one: x^2/68+4(y+3)^2/68=68/68.
And step 6. You’ll need to simplify each term in the equation in order to set the right side equal to 1. The standard form of an ellipse or hyperbola requires the right side of the equation be 1: x^2/68+(y+3)^2/17=1. I hope you download Math-way app to calculate this ellipse in standard form to be extremely helpful, please mark me as brainliest, and have a great weekend! :D
Answer:
y = -8/7x - 3
Step-by-step explanation:
A line represents a linear relationship between x and y with constant slope and defined for all values of x and y.
Any line equation in slope intercept form would be of the form
y =mx+c where
m = slope of line
and c = y intercept
In our quesion we are given that slope of line = -8/7
and intercept = negative 3 = -3
Hence equation is
y =-8x/7-3
The answer for this is (2,3)
The slope is the change in y-axis to x-axis of a graph. The slope of the line given is -10
<h3>How to find the slope of a line?</h3>
The standard equation of a line in slope intercept form is given as y = mx+b
where
- m is the slope
- b is the y-intercept
Given the equation y = -10x - 2
Compare
mx = -10x
m = -10
Hence the slope of the line given is -10
Learn more on slope here: brainly.com/question/3493733
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