Question

Write an equation of the line that passes through the points (-4, -2) and (0,6)​

Answer 1

y= 2x +6

Explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

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

Slope

`= (6 - ( - 2))/(0 - ( - 4))`

`= (6 + 2)/(0 + 4)`

`= (8)/(4)`

= 2

y= 2x +c

y-intercept occurs at x= 0. Since we are given that the line passes through the coordinates (0, 6), the y-intercept is 6.

Thus, the equation of the line is y= 2x +6.