Question

graph y=-1/4x+5 how do you graph this?

Answer 1

Hey there!!

The given equation is slope-intercept form.

... y = mx + b. In this equation, the 'b' is the y-intercept and the m i the slope.

Given:

... y = -1/4x + 5

First, we will have to place the point at ( 0,5 ) as the y-intercept is 5.

Now, taking the (0,5) as the start, we will have to place the other point after moving down one unit and 4 across as the slope is -1/4.

Hence, the two points we will get doing this are (0,5) and (4,4)

Now, we will need to connect these two points and draw arrow at the end.

We now have a line!

Hope my answer helps!

Happy Thanksgiving! :)

Answer 2

It is a linear function. The graph is a straight line.

We need only two points to plot a graph of a linear function.

Select two any x values and calculate the y values:

$y=-\dfrac{1}{4}x+5\\\\for\ x=0\to y=-\dfrac{1}{4}(0)+5=0+5=5\to(0,\ 5)\\\\for\ x=4\to y=-\dfrac{1}{4}(4)+5=-1+5=4\to(4,\ 4)$