The question asks, "find the equation of the ellipse with the following properties.
the ellipse with x-intercepts (5, 0) and (-5, 0); y-intercepts (0, 3) and (0, -3)."
i know that the equation for an ellipse is x^2/a^2+ y^2/b^2=1 but i have no idea how to create the equation given x-intercepts and y-intercepts. ! you.

Step-by-step explanation:

Equation of ellipse is of form where are the x-intercepts and are the y-intercepts . If then it is a horizontal ellipse and if then it is a vertical ellipse .

For horizontal axis ,

Here, are known as the vertices of ellipse and are the co-vertices of ellipse .

Horizontal axis is known as the major axis and vertical axis is known as the minor axis .

Here, x-intercepts are , take a = 5

y-intercepts are , take b = 3

As , it is a horizontal ellipse .

On putting a = 5 and b = 3 , we get equation as

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>