Question

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

Answer 1

Answer:

y= 2x +6

Step-by-step explanation:

Slope-intercept form

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

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

Slope

$= \frac{6 - ( - 2)}{0 - ( - 4)}$

$= \frac{6 + 2}{0 + 4}$

$= \frac{8}{4}$

= 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.