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Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.

- Here's a graph of a linear function. Write the equation that describes that function-example-1
User MinhD
by
8.4k points

1 Answer

9 votes

Answer:

y =
(1)/(2) x + 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 ) = (- 6, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m =
(3-0)/(0-(-6)) =
(3)/(0+6) =
(3)/(6) =
(1)/(2)

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

y =
(1)/(2) x + 3 ← equation of line

User Yaquelin
by
8.2k points

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