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jolli1 [7]
2 years ago
11

Please write an equation

Mathematics
1 answer:
Katen [24]2 years ago
4 0

Answer:

y = \frac{3}{4} x + 2

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 = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = \frac{5-2}{4-0} = \frac{3}{4}

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = \frac{3}{4} x + 2 ← equation of line

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