Question

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

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Answer 1

y = 3x + 4

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, 4) and (x₂, y₂ ) = (2, 10 )

m =
`(10-4)/(2-0)` =
`(6)/(2)` = 3

The y- intercept c = 4

y = 3x + 4 ← equation of line