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Determine the equation of the line that goes through the point (4, 4) with -1/4 slope. Enter your answer in slope-intercept form.Enter EquationPls see picture

Determine The Equation Of The Line That Goes Through The Point 4 4 With 14 Slope Enter Your Answer In Slopeintercept FormEnter EquationPls See Picture 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

From the information given,

m = - 1/4

the line passes through the point (4, 4). This means that

x = 4, y = 4

We would find c by substituting m = - 1/4, x = 4 and y = 4 into the slope intercept equation. We have

4 = - 1/4 * 4 + c

4 = - 1 + c

Adding 1 to both sides of the equation,

4 + 1 = - 1 + 1 + c

c = 5

By substituting m = - 1/4 and c = 5 into the slope intercept equation, the equation of the line is

y = - x/4 + 5

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