Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

4x+3y=8 find the gradient

Sagot :

semsee45

Answer:

[tex]-\dfrac{4}{3}[/tex]

Step-by-step explanation:

To find the gradient of the linear equation, 4x + 3y = 8, begin by rearranging the equation to isolate y:

[tex]4x+3y=8 \\\\\\4x+3y-4x=8-4x \\\\\\ 3y=-4x+8\\\\\\\dfrac{3y}{3}=\dfrac{-4+8}{3} \\\\\\y=-\dfrac{4}{3}x+\dfrac{8}{3}[/tex]

The equation is now in slope-intercept form, y = mx + b, where m is the slope (gradient), and b is the y-intercept.

By comparing the rearranged equation to the slope-intercept form, we can determine that the gradient (slope) of 4x + 3y = 8 is:

[tex]\LARGE\boxed{\boxed{-\dfrac{4}{3}}}[/tex]

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.