Write an equation in slope-intercept form for the line that passes through the two points.
(0, -4) and (1, -6)
To write the equation of the line in slope-intercept form (y = mx + b), we need to first calculate the slope (m) of the line that passes through the points (0, -4) and (1, -6).
The slope m can be calculated using the formula:
m = (change in y) / (change in x)
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the given points (0, -4) as (x1, y1) and (1, -6) as (x2, y2), we get:
m = (-6 - (-4)) / (1 - 0)
m = (-6 + 4) / 1
m = -2 / 1
m = -2
Next, we use one of the points to find the y-intercept (b). Since one of the points is already at x = 0, we can use it directly because the y-intercept is the value of y when x is 0. So, from the point (0, -4), we already know that b = -4.
Now we can write the equation of the line:
y = mx + b
Substituting the slope m and the y-intercept b into the equation:
y = -2x - 4
This is the equation in slope-intercept form for the line passing through the points (0, -4) and (1, -6).