Graph the line that passes through the two lines (1,5/2), (-1/2,-1/4)
1 answer:
Answer:
<em>Image below</em>
Step-by-step explanation:
<u>Graph of a Line Given Two Points</u>
We are given the points (1,5/2), (-1/2,-1/4).
A straight line is entirely defined by two points. We have to plot them and join them with a straight line ending in arrows.
The point (1,5/2) is converted to decimal as (1,2.5)
The point (-1/2,-1/4) is also converted to decimal: (-0.5,-0.25)
This helps to define the divisions of each axis and properly draw the line.
Please refer to the image below.
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Answer:
y = - 9
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 ) = (1, - 6) and (x₂, y₂ ) = (4, 3)
m = =
= 3
y = 3x + c ← is the partial equation
To find c substitute any of the 2 points into the partial equation
Using (4, 3), then
3 = 12 + c ⇒ c = 3 - 12 = - 9, hence
y- intercept c = - 9 ⇒ (0, - 9 )