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Answer:

y = mx + b

y= 2x +3

explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{5 - 3}{1 - 0} = m \\ m = 2[/tex]

Answer:

y = 2x + 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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 7) ← 2 points on the line

m = [tex]\frac{7-3}{2-0}[/tex] = [tex]\frac{4}{2}[/tex] = 2

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 2x + 3 ← equation of line

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