A line contains the points (-3, 6) and (2, 1) what is the slope of the line?
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
In this case, the points are (-3, 6) and (2, 1). Let's substitute these values into the formula:
m = (1 - 6) / (2 - (-3))
m = (-5) / (2 + 3)
m = -5 / 5
m = -1
Therefore, the slope of the line passing through these two points is -1.
The equation of a line is y = -2x-4 what is the y intercept?
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation of the line is y = -2x -4.
Comparing this equation to the slope-intercept form, we see that the y-intercept is -4.
Therefore, the y-intercept of the line is -4.
Give more info!!!!
Apologies for not providing more information.
In the equation y = -2x - 4, the y-intercept can be identified by looking at the constant term, which is the term that does not involve x. In this case, the constant term is -4.
The y-intercept is the point where the line intersects the y-axis. It is the value of y when x is equal to 0. In other words, when x = 0, we can substitute it into the equation:
y = -2(0) - 4
y = -4
So, the y-intercept of the line is -4. This means that the line crosses the y-axis at the point (0, -4).
More more!!!!!
Certainly! Here's more information about the y-intercept and its significance:
The y-intercept is the point where a line intersects the y-axis. It represents the value of y when x is equal to 0. In other words, it is the value of y when the line crosses the vertical line at x = 0.
In the equation y = -2x - 4, the y-intercept is -4. This means that the line crosses the y-axis at the point (0, -4). The y-intercept indicates that when x = 0, the value of y is -4.
The y-intercept provides important information about the line. In this case, since the y-intercept is a negative value (-4), we know that the line is below the origin on the coordinate plane. Additionally, since the slope is -2, we can determine that the line has a negative slope and is inclined downward as it moves from left (-x) to right (+x).
Knowing the y-intercept and the slope, we can plot the line on a graph or use these values to analyze the behavior and characteristics of the line.
More stupid!
Apologies if the previous responses did not provide the information you were looking for. Here is an alternative explanation:
In the equation y = -2x - 4, the y-intercept is the value of y when x is equal to 0. To find the y-intercept, we substitute x = 0 into the equation:
y = -2(0) - 4
y = 0 - 4
y = -4
So, the y-intercept of the line is -4. This means that the line crosses the y-axis at the point (0, -4).
The y-intercept is important because it gives us a reference point on the y-axis. It tells us where the line intersects the y-axis and provides an initial point to plot the line on the coordinate plane. Additionally, the y-intercept can help us determine key characteristics of the line, such as whether it is above or below the origin and the direction, based on whether the y-intercept is positive or negative.
I hope this explanation is more helpful to you. Please let me know if there is anything else I can assist you with.