Solve the linear equation for graphing:

\(\frac{1}{4}x + \frac{3}{4}y = 1\)

convert this to slope-intercept form
subtract 1/4x,
3/4y=1-1/4x
then multiply my 4/3
y=4/3-1/3x
y=-1/3x+4/3
4/3 is the y-intercept, so when you're graphing begin with it. Then find another point on the graph according to the slope. Plot point (0,4/3) then plot a point with a y-value 1 less and an x-value 3 more. (slope is sometimes called rise over run because it is a ratio of the change in the y-value divided by the change in the x-value) Plot point (3,1/3). Connect the dots with a ruler and draw a line.

Answered by mathdragon | 2024-06-10

s t an d a r d l in e a r e q u a t i o n : y = a x + b 4 1 ​ x + 4 3 ​ y = 1 ∣ m u lt i pl y e a c h t er m b y \ 4 x + 3 y = 4 ∣ s u b t r a c t x t o b o t h s i d es 3 y = − x + 4 ∣ d i v i d e e a c h t er m b y 3 y = − 3 1 ​ x + 3 4 ​

Answered by Lilith | 2024-06-24

We converted the equation 4 1 ​ x + 4 3 ​ y = 1 into slope-intercept form, resulting in y = − 3 1 ​ x + 3 4 ​ . The slope is − 3 1 ​ and the y-intercept is 3 4 ​ . By plotting these points and connecting them, you can graph the equation properly.
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Answered by mathdragon | 2024-10-09