Find the slope of the line through the points (-4, 3) and (3, 5)
2 answers:
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The slope intercept form of the line is given by:
The point-slope form is given by:
Where,
m: slope of the line
b: cutting point with the y axis
(xo, yo): ordered pair that belongs to the line
For line A:
The slope is
The cut point with the y axis is:
Substituting values we have:
For line B:
The slope is given by:
Then, the equation of the line is:
Answer:
Option A
The point-slope form is given by:
Where,
m: slope of the line
b: cutting point with the y axis
(xo, yo): ordered pair that belongs to the line
For line A:
The slope is
The cut point with the y axis is:
Substituting values we have:
For line B:
The slope is given by:
Then, the equation of the line is:
Answer:
Option A
Answer:
y = x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)
m = =
=
Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = x - 5 ← equation of line