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1 year ago

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

Mathematics

2 answers:

sveta [45]1 year 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]1 year 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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3 years ago

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3 years ago

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

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