Mathematics: -(1+7x)-6(-7-x)=36 HELP

-(1+7x)-6(-7-x)=36 HELP - id1767367346625, aryannaholmes9

justinb0829

19.08.2020

40x-y=-600

Step-by-step explanation:

The equation of the line in Standard form is:

Ax + By = C

Where "A" is a positive integer and "B", and "C" are integers.

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Using any two points from the table, we can find the slope.

Let's pick the points (0,600) and (6,840):

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{600-840}{0-6}=40$

By definition, the line intersects the y-axis when x=0 ; we can observe in the table that when $x=0,\ y=600$ ; therefore:

b=600

Then, substituting values into y=mx+b , we get that the equation of this line in Slope-Intercept form is:

y=40x+600

In order to write this equation in Standard form, we must:

- Subtract 600 from both sides of the equation:

$y-600=40x+600-600\\\\y-600=40x$

- Subtract "y" from both sides:

$y-600-y=40x-y\\\\-600=40x-y\\\\40x-y=-600$

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