Write the equation of the line that passes through the given points.
(0,- 4) and (-23, - 6)
The equation of the line Is
(Simplify your answer. Type your answer in slope-intercept form.)
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be calculated using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Using the points (0,-4) and (-23,-6), the slope is:
m = (-6 - (-4)) / (-23 - 0) = (-6 + 4) / (-23) = -2 / (-23) = 2/23
Now, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
Plugging in the calculated slope (2/23) and one of the points (0,-4), we can solve for b:
-4 = (2/23)(0) + b
-4 = b
Therefore, the equation of the line is:
y = (2/23)x - 4