Question

What is the equation of this line in standard form?

A. 6x7y=17
B.11x6y=13
C.6x11y=13
D.6x11y=13

Answer 1

The equation of the line in standard form is 11y - 6x = 13. Therefore, the correct answer is B.

To find the equation of the line in standard form, we'll first determine the slope (m) using the coordinates (-4, -1) and (1.5, 2):

`\[ m = (y_2 - y_1)/(x_2 - x_1) \]`

`\[ m = (2 - (-1))/(1.5 - (-4)) \]`

`\[ m = (3)/(5.5) \]`

Now that we have the slope, we can use the point-slope form of a line
`\((y - y_1) = m(x - x_1)\)` with either of the given points. Let's use (-4, -1):

`\[ (y - (-1)) = (3)/(5.5)(x - (-4)) \]`

`\[ y + 1 = (3)/(5.5)(x + 4) \]`

Now, multiply both sides by 5.5 to clear the fraction:

5.5(y + 1) = 3(x + 4)

5.5y + 5.5 = 3x + 12

5.5y - 3x = 6.5

Finally, multiply both sides by 2 to get rid of the decimals:

11y - 6x = 13

So, the equation of the line in standard form is 11y - 6x = 13. Therefore, the correct answer is B.

The probable question may be:

What is the equation of this line in standard form? coordinates are= (-4,-1) and (1 1/2, 2)

A. 6x-7y=17

B.11x-6y=13

C.6x-11y=13

D.6x-11y=-13