(4,3) and (-1, 03) when I plot these two on a graph they are parellel. Am I correct. How do I find the slope of the line m=___?
Slope (m)= (y2-y1)/(x2-x1)
= (3-3)/(4+1)
m = 0
Using the point slope formula,
y-y1 = m (x-x1)
y-3 = 0 (x-4)
y-3= 0
Therefore, y =3 is the equation which is parallel to the x-axis!!
Hope that helps :)
for the numberator portion of your answer, subtract the 1st y value from the 2nd y value (remember your ORDER as the same order will apply to the x values later).
next, do the same for your x values.
this is what it looks like:
3- 03 0
----- + --- = "0"
4- (-1) 5
your slope is zero which means you have a horizontal line
To determine if two points are parallel, you need to calculate the slope of the line that passes through each point. If the slopes are the same, then the lines are parallel.
To find the slope (m) of a line passing through two points, (x₁, y₁) and (x₂, y₂), you can use the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slope for the given points:
Point 1: (4, 3) with coordinates (x₁, y₁) = (4, 3)
Point 2: (-1, 3) with coordinates (x₂, y₂) = (-1, 3)
Using the slope formula:
m = (3 - 3) / (-1 - 4)
m = 0 / -5
m = 0
The slope (m) is 0.
If the slope of a line is 0, it means the line is horizontal. Since both points have the same y-coordinate of 3, the line passing through them is horizontal, and hence, they are parallel.
Therefore, you are correct in saying that the points (4, 3) and (-1, 3) are parallel on the graph.