Step-by-step explanation: An equation of a line can be written in the slope-intercept form y = mx + b, where m is the slope of the line and b is the y-intercept. To find the equation of a line that passes through two given points, we can use the slope-intercept form and find the slope (m) and y-intercept (b) using the two points.
To find the slope (m), we can use the formula: m = (y2 - y1) / (x2 - x1)
Given the points (-2, -6) and (-1, 0), the slope of the line is:
m = (0 - (-6)) / (-1 - (-2)) = 6 / 1 = 6
To find the y-intercept (b) , we can substitute one of the points into the slope-intercept form:
y = mx + b
(-6) = 6(-2) + b
b = -6 - 12 = -18
Now we can use the slope and the y-intercept to write the equation of the line in slope-intercept form:
y = 6x - 18
So the equation of the line that passes through the points (-2, -6) and (-1, 0) is y = 6x - 18