Use the point slope equation to identify the slope and the coordinates of a point
2 answers:
Answer:
The slope of the line is 1 and it passes through the point (1,4).
Step-by-step explanation:
If a line passes through a points with slope m, then the point slope form of the line is
.... (1)
The given equation of line is
.... (2)
We need to find the slope and the coordinates of a point on the given line.
On comparing (1) and (2) we get
Therefore, the slope of the line is 1 and it passes through the point (1,4).
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The first thing we must do for this case is to find the equation of the line.
We have then:
We choose an ordered pair:
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
We have then:
We choose an ordered pair:
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.