Question

Write an equation of the line below

Answer 1

Answer:

y= 4x -2

Step-by-step 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)

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

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

Slope

$= \frac{6 - ( - 2)}{2 - 0}$

$= \frac{6 + 2}{2}$

$= \frac{8}{2}$

= 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.