Question

Identify the equation of the graph.

A. -6x+3y=12

B. 3y+10=5x

C. 5x+y=10

D. 2y+1=7-x

Answer 1

Answer: choice A -6x + 3y = 12

Explanation:

the graph represents the

line y = 2x + 4 because the slope is 2 and the y-intercept is 4

choice A is the equivalent

-6x +3y = 12

-2x +y = 4

y = 2x + 4

from MysticAlanCheng

Answer 2

A) -6x+3y = 12

Explanation:

Let's take two points from the straight line.

(-2,0) and (0, 4).

Now

We can find the equation of the line by using the point-slope form of the equation of a line:

`\sf y - y_1 = m(x - x_1)`

where:

• (x1, y1) are the coordinates of one of the points on the line (in this case, (-2, 0)),
• m is the slope of the line.

First, find the slope (m) using the two given points (-2, 0) and (0, 4):

`\sf m = (y_2 - y_1)/(x_2 - x_1) = (4 - 0)/(0 - (-2)) = (4)/(2) = 2`

Now that we have the slope, we can use one of the points, such as (0,4), in the point-slope form:

`\sf y - 4 = 2(x - 0)`

Simplify:

y -4 = 2x

Keep the x and y terms in left side and constant on right side,

-2x+y = 4

Since it's not in a options, so

Multiply both sides by 3.

-6x+3y = 12

Therefore, answer is:

A) -6x+3y = 12