Question

What is the equation of the line?

Answer 1

`y = -(1)/(4)x + 1`

Explanation:

Slope of the line can be found by taking two points on the line, (x1, y1) and (x2, y2)

Find the difference in y coordinates, y2 - y1 (called rise)

Find the difference in corresponding x coordinates x2 - x1 (called run)

rise/run gives the slope

Two distinguishable points on the line graph are (0, 1) and (4, 0)

rise = 0 - 1 = - 1
run = 4 - 0 = 4

Slope = -1/4

The equation of the line in general form is

y = mx + b

where

m = slope

b = y-intercept (value of y when x = 0)

Here m = -1/4

b = 1

So equation of the line is

`y = -(1)/(4)x + 1`