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Contact [7]
3 years ago
15

Consider the equation, -2x + 3y = 6. Identify the slope.

Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer: 2/3

Step-by-step explanation: To identify the slope of this line, we first need to convert this equation to slope-intercept form.

In slope-intercept or <em>y = mx + b</em> form, the <em>y</em>

is by itself on the left side of the equation.

So our first task in this problem is to get <em>y</em> by itself

on the left side of the equation and we do that by

first adding 2x to both sides to get 3y = 2x + 6.

Notice that I put the <em>x</em> term first on the right side of the equation and then the number because in <em>y = mx + b</em> form, the <em>x</em> term comes first on the right side of the equation.

Continuing on, to get <em>y</em> by itself we would

divide both sides by 3 to get <em>y = 2/3x + 2</em>.

Now in y = mx + b form, the slope is coefficient of the <em>x</em> term.

So we can see that the slope of this line is 2/3.

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