Answer:
y = -1.5x - 3
Step-by-step explanation:
The slope-intercept form of a line is y = mx + c where m is the slope of the line and c is the y-intercept of the line.
To find the slope of a line, you need to find the between two of the points. I will be using the points (-2, 0) and (0, -3).
=
=
= -1.5
Now based on the graph, we see that the y-intercept is -3. Thus, the entire equation of the given line is: y = -1.5x - 3
Equation of the ellipse = 3x² + 5y² = 32
<h3>Step-by-step explanation:</h3><h2>Given:</h2>The equation of an ellipse is given by,
Given that the ellipse passes through the point (-3, 1)
Hence,
Cross multiplying we get,
Multiply by 4 on both sides,
Also by given the ellipse passes through the point (2, -2)
Substituting this,
Cross multiply,
Subtracting equations 2 and 1,
Substituting in 2,
Substituting the values in the equation for ellipse,
Multiplying whole equation by 32 we get,
3x² + 5y² = 32
<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>