Question

4. Write the equation of the line in SLOPE-INTERCEPT FORM that passes through the given points(4,2) and (0,6)

Answer 1

The slope intercept form equation is expressed as

y = mx + c

where

m represents slope

c represents y intercept

The formula for determining slope is expressed as

slope, m = (y2 - y1)/(x2 - x1)

From the information given,

y2 = 6, y1 = 2

x2 = 0, x1 = 4

Slope, m = (6 - 2)/(0 - 4) = 4/- 4

m = - 1

We would determine the y intercept, c by substituting m = - 1, y = 6 and x = 0 into the slope intercept equation. It becomes

6 = - 1 * 0 + c

6 = c

c = 6

The equation would be

y = - x + 6