Determine the intercepts of the line that passes through the following points (1,2) (3,10) (5,18)
1 answer:
Answer:
(1/2, 0), (0, -2)
Step-by-step explanation:
We can determine the slope from ...
slope = (change in y)/(change in x) = (10 -2)/(3 -1) = 8/2 = 4
Then an equation for the line can be written for slope m and point (h, k) as ...
m(x -h) -(y -k) = 0
Using the slope we calculated and the first point, we have the equation ...
4(x -1) -(y -2) = 0
4x -4 -y +2 = 0 . . . . . eliminate parentheses
4x -y = 2 . . . . . . . . . . put in standard form
Now, we can divide by the constant on the right to put this into intercept form:
x/(x-intercept) + y/(y-intercept) = 1
x/(1/2) + y/(-2) = 1
The x-intercept is 1/2; the y-intercept is -2.
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Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = =
= -
The y- intercept is where the line crosses the y- axis
The line crosses the y- axis at (0, 3 ) ⇒ b = 3
(b)
y = - x + 3 ← equation of line