Question

The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4). Which equation represents the function ?

Answer 1

The equation of the line will be given as y = -4x - (- 17/ 4).

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

• The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4).

The equation of the line will be given as:-

y  -  y₁ = m ( x  -  x₁)

slope m will be calculated as:-

$m =\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+1}{\dfrac{-3}{4}+\dfrac{1}{4}}=-4$

The equation will be:-

y  -  (1/4)  =  -4( x +  1 )

y  = -4x  -  (17/4)

Therefore the equation of the line will be given as y = -4x - (- 17/ 4).

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