Graph the solution of the equation:

\[ 10x + 6y = 100 \]

s t an d a r d e q u a t i o n l in e a r : y = a x + b 10 x + 6 y = 100 ∣ s u b t r a c t 10 x t o b o t h s i d es 6 y = − 10 x + 100 ∥ d i v i d e e a c h t er m b y 2 3 y = − 5 x + 50∣ d i v i d e e a c h t er m b y 3 y = − 3 5 ​ x + 3 50 ​
x = 1 → y = − 3 5 ​ ∗ 1 + 3 50 ​ = − 3 5 ​ + 3 50 ​ = 3 45 ​ = 15 x = 10 → y = − 3 5 ​ ∗ 10 + 3 50 ​ = − 3 50 ​ + 3 50 ​ = 0

Answered by Lilith | 2024-06-10

you have to put the equation in slope-intercept form, which is y=mx+b, so you have to subract 10x from both sides to get 6y=-10x+100, then divide all the terms by 6 to get y=-5/3x+16 2/3. Then all you do is graph 16 2/3 on the y axis and from that point do the slope, which is -5/3, so you have to go down on the y axis 5, and over to the right 3, and put a point. Then you just repeat this to get a few more points to be able to draw a line. (I hope this helps! sorry if i confused you even more, I'm not the best at explaining things, but hopefully I cleared things up a bit for you)

Answered by Danny1717 | 2024-06-10

To graph the equation 10 x + 6 y = 100 , convert it to slope-intercept form, resulting in y = − 3 5 ​ x + 3 50 ​ . Identify the slope and y-intercept, plot relevant points, and draw the line. This visual representation illustrates how x and y are related in the equation.
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Answered by Lilith | 2024-12-26