Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.
Find an equation in slope-intercept form passing through the points (-6.2,18.1) and (-3.4,18.1).
Part 1. We don't draw graphs here. You have not provided any equations, anyway.
Part 2. Both points have the same y value. You therefore have a horizontal line with equation y = 18.1
The slope is zero and the y-intercept is 18.2.
how would I do th equation on this problem?
drwls gave you the equation above.
"You therefore have a horizontal line with equation"
y = 18.1
points (-6.2,18.1) and (-3.4,18.1)
As drwls said above,
"The slope is zero and the y-intercept is 18.1."
The slope intercept form of an equation is,
y = mx + b
m = 0
y-intercept = 18.1
y = 0x + 18.1
y = 18.1 is the equation for the line.
To graph the equations, let's start with the given points (-6.2,18.1) and (-3.4,18.1):
1. Plot the first point (-6.2, 18.1) on the graph. This will be a point on the line we are going to draw.
2. Plot the second point (-3.4, 18.1) on the graph. This will be another point on the same line.
Now, let's find the slope of the line passing through these points. The slope is given by the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
slope = (18.1 - 18.1) / (-3.4 - (-6.2))
slope = 0 / 2.8
slope = 0
Since the slope is 0, the line is horizontal. This means that the line will have the same y-coordinate value for every x-coordinate value.
To find the x-intercept and y-intercept, we need the equation of the line in slope-intercept form, which is given by y = mx + b, where m is the slope and b is the y-intercept.
Since the slope is 0, we have y = 0x + b, which simplifies to y = b. This means that the equation of the line is simply y = 18.1.
From the equation, we can see that the y-intercept is the constant term, which is 18.1. So the y-intercept is (0, 18.1).
Since the slope is 0, there is no vertical change in the line, hence no x-intercept. In other words, the line does not intersect the x-axis.
To sum up:
- The equation of the line passing through the points (-6.2,18.1) and (-3.4,18.1) is y = 18.1.
- The slope is 0.
- The y-intercept is (0, 18.1).
- There is no x-intercept.
We can represent this on the graph by drawing a horizontal line at y = 18.1 passing through the point (0, 18.1).