Question

Write an equation of the line below

Answer 1

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.