Question

Write the equation of the line in standard form.

Points on the line: (-5,2) and (1/2,4)

Answer 1

@jagr2713

Answer 2

The standard form of line equation has the following formula:

Ax + By = C

y = mx + b ( Slope -intercept form)

m = dy/dx = 4 - 2/ (0.5) - (-5) = 4/11

y = 4/11 x + b

2 = 4/11 * -5 + b

b = 42/11

y = 4/11 x + 42/11

11y = 4x + 42

4x - 11y = -42

Answer 3

By the way,

y = -A/B x + C/B

so slope = -A/B , y-intercept = C/B

You can make 3 equations -A/B , 2 points and form the eqn the same way.

Answer 4

Okay, so the Point Intercept form is y = 4/11 x +b. How did you get 4/11 for the slope and b = 42/11.

Answer 5

@TrojanPoem

Answer 6

I used the slope -intercept form.

After finding the slope, just plug in the ordered pair. and solve for b.

Answer 7

How did you get for 4/11 for the slope?

Answer 8

Points on the line: (-5,2) and (1/2,4)
\[\frac{ \Delta y }{ \Delta x } = \frac{ 4 - 2 }{ 0.5 - (-5) } = \frac{ 4 }{ 11 }\]

Answer 9

0.5=1/2?

Answer 10

Yeah.

Answer 11

4/11 * -5 = 42/11?

Answer 12

2 - (4/11 * -5) = 42/11

Answer 13

Is 4/11 * 5 20/11?

Answer 14

Yeah, as I assume that 4/11 * 5 = (4/11) *5

Answer 15

\[\frac{ 4 }{ 11 } * 5\]

Answer 16

2 - 20/11 .-.

Answer 17

2/11 , (assuming you're not referring to your question)

2 - (4/11) * -5 = 2 + 20/11 = 22/11 + 20/11 = 42/11

Answer 18

Thanks for sorting that out. :)

Answer 19

Never mind.

Answer 20

Why'd you put 11y?

Answer 21

You have to put it as

Ax + By = C

maybe - 4//1x + y = 42/11 ( Is ok! )