Question

Using a Line to Find a Point-Slope Equation and the Equivalent Function A coordinate grid with a line passing through the points (negative 2, negative 1) and (2, 0) Use the graph of the line to answer the questions. What is an equation of the line in point-slope form? How can the point-slope form be written in function notation?

Answer 1

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`y = (x)/(4) ( - 1)/(2 )`

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Answer 2

y = x/4 -1/2

Explanation:

given coordinates : ( -2, -1 ) and ( 2 , 0 )

gradient = y2 - y1 / x2 - x1

= 0 - -1 / 2 - -2

= 1/4

equation of line:

y - y1 = m( x - x1 )

y - 0 = 1/4 ( x - 2 )

y = x/4 -1/2

the line shown below to confirm: