1. The x-intercept of the line is -3. The y-intercept of the line is 6. What us the slope of the line?
2. What is the equation in slope-intercept form of the linedescribed in Exercise 1?
typing mistakes:
1. What IS the slope...
2. ...line described...
slope is change in y for a given change in x.
Here, from x=-3 to 0 the change in y is zero to 6, slope is 6/3 or 2
So then what's the equation in slope-intercept?
y=slope*x + yintercept
Memorize this.
Okay. Thanks a lot!
To find the slope of a line when given its x-intercept and y-intercept, we can use the formula:
slope = (y-intercept - x-intercept) / 0
However, in this case, the x-intercept is -3 and the y-intercept is 6, so the formula would yield an indeterminate form (0/0). This means that the line is vertical and has an undefined slope.
As for the equation in slope-intercept form, we can use the given intercepts to construct the equation. The slope-intercept form of a line is given by: y = mx + b, where m is the slope and b is the y-intercept.
In our case, we know that the y-intercept is 6. Since the slope is undefined, we cannot directly substitute it into the equation.
So, the equation in slope-intercept form for the line with an x-intercept of -3 and a y-intercept of 6 is: x = -3. This equation represents a vertical line passing through -3 on the x-axis.