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Step2247 [10]
2 years ago
9

Find the gradient and the intercept shown by the straight line 2x + 3y = 6 ​

Mathematics
2 answers:
sveta [45]2 years ago
6 0

Answer:

\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2

Step-by-step explanation:

<h2>Equation of the line in slope intercept form:</h2>

      \sf \boxed{\bf y = mx +b}

Here m is the slope or gradient and b is the y-intercept.

Write the given equation in slope-intercept form.

  2x + 3y = 6

          3y = -2x + 6

            \sf y =\dfrac{-2}{3}x +\dfrac{6}{3}\\\\     y = \dfrac{-2}{3}x + 2

\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2

storchak [24]2 years ago
6 0

Answer:

The gradient is -\frac{2}{3} and the intercept is 2.

Step-by-step explanation:

First, transform the given equation into the slope-intercept form, y = mx + b. The variable m represents slope (gradient) and the variable b represents the intercept.

2x + 3y = 6

3y = -2x + 6

y = -\frac{2}{3}x + 2

The gradient is -\frac{2}{3} and the intercept is 2.

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