Respuesta :
Answer:
You need an point (x, y) that lies on the graph, and you need the slope of the line.
Step-by-step explanation:
The formula for point-slope form is:
y - y1 = m(x - x1) where m is the slope, and (x1, y1) is a point on the graph
Finding the point (x,y):
This is is usually given in the problem you are asked, and you can plug that point in to the formula above.
Ex: A line with a slope of 3 passes through the point (1, 4). Write the equation for this line using point-slope form.
Answer: The slope is 3, the point given is (1, 4). So using point-slope form, we get
y - 4 = 3(x - 1)
The two pieces of information that we need to write an equation in the point-slope form are the coordinates of the points on the line whose slope we need to find.
What is Slope?
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
We know that the point-slope or slope of a line can be found using the formula,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}\\\\{(x_2-x_1)}m = {(y_2-y_1)}[/tex]
where m is the slope and, (x, y) are the coordinates of two different points.
Now, as we can observe in the given formula that in order to find the point-slope we only need to know the coordinates of any two points on the line.
Hence, the two pieces of information that we need to write an equation in the point-slope form are the coordinates of the points on the line whose slope we need to find.
Learn more about Slope:
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