Answer:
The gradient is -[tex]\frac{2}{3}[/tex] 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 = -[tex]\frac{2}{3}[/tex]x + 2
The gradient is -[tex]\frac{2}{3}[/tex] and the intercept is 2.
Answer:
[tex]\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2[/tex]
Step-by-step explanation:
[tex]\sf \boxed{\bf y = mx +b}[/tex]
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
[tex]\sf y =\dfrac{-2}{3}x +\dfrac{6}{3}\\\\ y = \dfrac{-2}{3}x + 2[/tex]
[tex]\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2[/tex]
