Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Indicate in standard form the equation of the line passing through the given point and having the given slope. R(4, 0), m = 5

could you just write out an equation

Answer 1

5x - y = 20

Explanation:

y = mx + c

0 = 5(4) + c

c = -20

y = 5x - 20

5x - y = 20

Answer 2

5x - y = 20

Explanation:

The standard form of a line is written in the form: ax + by = c. But, let's first find the slope-intercept form:
`y=mx+b` , where m is the slope and b is the y-intercept

Here, we know that m = 5, so let's put that in:
`y=5x+b`.

However, we don't know b. So, let's use the point given (4, 0), and put in 4 for x and 0 for y to solve for b:
`0=5*4+b` ⇒
`b=-20`

So, the equation is:
`y=5x-20`. Now, we need to change this to standard form:

Add 20 to both sides and subtract y: 5x - y = 20.

Hope this helps!