Question

Can you come up with the equation for the graph to the left in y = mx+ b form?

Answer 1

y = 3x + 1

Explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (1, 4) ← 2 points on the line

m =
`(4-1)/(1-0)` =
`(3)/(1)` = 3

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = 3x + 1 ← equation of line