If you want brainlest you’ll need to answer this please it’s URGENT

Name the property 3 = 3

tatyana61 [14]

Equal? I don’t rlly understand what this means

5 0

3 years ago

Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)

Evgen [1.6K]

Answer:

3y = -2x -7

Step-by-step explanation:

The equation of the line;

y = $-\frac{2}{3}$ x + 8

Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

the equation of a line is given as;

y = mx + c

where x and y are the coordinate

m is the slope

c is the intercept

To solve this problem,

The slope $-\frac{2}{3}$ if the same as that of the new line since they are parallel;

Equation of the new line;

x = 4 and y = -5

-5 = $-\frac{2}{3}$ x 4 + c

-5 = $-\frac{8}{3}$ + c

c = -5 + $\frac{8}{3}$

c = $-\frac{7}{3}$

So, the equation of the line is;

y = $-\frac{2}{3}$ x - $\frac{7}{3}$

or ;

3y = -2x -7

7 0

2 years ago

Write the equation of an ellipse with a major axis of length 8 and co-vertices (0,3) and (0,-3)

alexandr1967 [171]

If the co-vertices are (0, 3) and (0, -3) where x is 0 and y has a value, then y is the minor axis. That means that the x axis is the major axis. Because of what the co-vertices are, the center of the ellipse is at the origin. The formula for an ellipse that has a horizontal major axis is $\frac{(x-h)^2}{a^2}+ \frac{(y-k)^2}{b^2}=1$ . The a value will always be larger than the b value, therefore, the a value goes under the coordinate that is the major axis. Here, its the x-axis. a is the distance that the outer edge of the ellipse is from the center. It's 8 units away from the center along the x axis and 3 units along the y axis from the center. So a = 8 and a^2 = 64; b = 3 and b^2 = 9. Our formula then is $\frac{x^2}{64}+ \frac{y^2}{9}=1$