Question

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Answer 1

y = 2x + 3

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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

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

m =
`(7-3)/(2-0)` =
`(4)/(2)` = 2

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

y = 2x + 3 ← equation of line

Answer 2

y = mx + b

y= 2x +3

explanation:

`m = (y2 - y1)/(x2 - x1) \\ (5 - 3)/(1 - 0) = m \\ m = 2`