Answer:
m = 5
Step-by-step explanation:
Since the points are collinear, they all lie on the same line and have the same slope between them.
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (3, 6)
m = =
= 3
Now calculate the slope using 2 other points and equate to 3
(x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (m, 12)
m = =
= 3 ( multiply both sides by m - 3 )
6 = 3(m - 3) ← divide both sides by 3
2 = m - 3 ( add 3 to both sides )
5 = m
The graph is a straight line graph with a slope of -1/2
Equation of a line in point-slope form
The equation of a line in point slope form is expressed as:
y - y₁ = m(x - x₁)
Given the following parameters
Point = (-2, 3)
Slope = -1/2
Substitute the given parameters into the formula
y-3 = -1/2(x-(-2))
y-3 = -1/2(x+2)
Write in slope-intercept form
2(y-3) = -(x+2)
2y-2(3) = -x -2
2y - 6 = -x -2
2y = -x + 4
y = -1/2x + 2
The graph of the equation is as shown below
Learn more on equation of a line here: brainly.com/question/18831322
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