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-Dominant- [34]
3 years ago
15

Create a linear equation in slope intercept form that contains the points (1,4) and (4,7).​

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

y = x + 3

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, 4) and (x₂, y₂ ) = (4, 7)

m = \frac{7-4}{4-1} = \frac{3}{3} = 1, hence

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (1, 4), then

4 = 1 + c ⇒ c = 4 - 1 = 3

y = x + 3 ← equation in slope- intercept form

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