Answered

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What is the linear equation ( slope intercept equation ) for the line that passes through points (0,4) and (2,8) ?

What Is The Linear Equation Slope Intercept Equation For The Line That Passes Through Points 04 And 28 class=

Sagot :

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept

The formula for determining slope is expressed as

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

Consideing the given points,

x1 = 0, y1 = 4

x2 = 2, y2 = 8

m = (8 - 4)/(2 - 0) = 4/2

m = 2

We would find the y intercept, c by substituting m = 2, x = 0 and y = 4 into the slope intercept equation. It becomes

4 = 2 * 0 + c

c = 4

Substituting m = 2 and c = 4 into the slope intercept equation, it becomes

y = 2x + 4

The last option is correct

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