Question

Select all the points that are on the graph of the line 2x+4y=20

Answer 1

Answer:

$(x,y)\\\\\Bigg(x, \displaystyle\frac{-1}{2}x+5\Bigg)$

The points on the equation 2x+4y=20.

Step-by-step explanation:

We are given the following in the question:

$2x+4y=20$

Writing this equation in the point slope form,

$y = mx + c$

where m is the slope and c is the y-intercept.

$2x+4y=20\\4y = 20-2x\\\\y =\displaystyle\frac{-1}{2}x+5$

where the slope is $\frac{-1}{2}$ and y-intercept is 5.

The attached image shows graph for the given equation.

All the points on the line for the given equation is of the form:

$(x,y)\\\\\Bigg(x, \displaystyle\frac{-1}{2}x+5\Bigg)$