Write an equation in slope-intercept form for the line that passes through the two points.
(0, -4) and (1, -6)
The slope-intercept form of a line is given by the equation:
y = mx + b
where m is the slope of the line, and b is the y-intercept.
First, let's find the slope (m) of the line that passes through the points (0, -4) and (1, -6). The slope is defined as the change in y divided by the change in x (often remembered as "rise over run") between two points on a line.
We can use the formula for the slope:
m = (y2 - y1) / (x2 - x1)
Substituting in our points (x1, y1) = (0, -4) and (x2, y2) = (1, -6):
m = (-6 - (-4)) / (1 - 0)
m = (-6 + 4) / (1)
m = -2 / 1
m = -2
Now that we have the slope of the line, we need to find the y-intercept (b). Since one of the points the line passes through is the y-intercept itself (0, -4), where the x value is 0, we know the y-intercept (b) is -4.
Putting it all together, the equation of the line in slope-intercept form is:
y = -2x - 4