Question

Write an equation for the line in standard form

Answer 1

The equation of the line in standard form is y = -1/2·x - 3

Explanation:

From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;

(-4, -1), (-2, -2), and (2, -4)

The slope, m, of the graph is given as follow;

`Slope, \, m =(y_(2)-y_(1))/(x_(2)-x_(1))`

Therefore, by substituting the values of the coordinates for two known points, we have;

`Slope, \, m =((-4) -(-1))/(2-(-4)) = ((-4) + 1)/(2+4 ) = (-3)/(6) = -(1)/(2)`

The slope of the graph, m = -1/2

The equation of the graph on point and slope form is given as follows;

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

y = -x/2 + 1 - 4 = -x/2 - 3

The equation of the line in standard form, y = m·x + c is y = -1/2·x - 3.