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Write an equation of the line below

Write an equation of the line below-example-1
User Xzk
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Answer:

y= 4x -2

Explanation:

The equation of a line can be written in the form of y= mx +c (known as the slope-intercept form), where m is the slope and c is the y-intercept.

Identify the coordinates of any two points on the line:

(0, -2) and (2, 6)


\boxed{ slope = (y _(1) - y_2 )/(x_1 - x_2) }

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope


= (6 - ( - 2))/(2 - 0)


= (6 + 2)/(2)


= (8)/(2)

= 4

y= 4x +c

From the graph, the y-intercept is -2 since the line cuts through the y-axis at the point (0, -2).

Thus, the equation of the line is y= 4x -2.

User Esben Bach
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