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Linear equation

A line with the slope of 1/2 pass through the point (3,-2)
a) Write the equation of the line in Point - Slope Form.
b) Write the equation of the line in Slope - intercept form.

User Riskop
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1 Answer

2 votes

Answer:

see explanation

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m =
(1)/(2) and (a, b) = (3, - 2) , thus

y - (- 2) =
(1)/(2) (x - 3) , that is

y + 2 =
(1)/(2)( x - 3) ← in point- slope form

(b)

The equation of a line in slope- intercept form is

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

Here m =
(1)/(2) , thus

y =
(1)/(2) x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 =
(3)/(2) + c ⇒ c = - 2 -
(3)/(2) = -
(7)/(2)

y =
(1)/(2) x -
(7)/(2) ← in slope- intercept form

User Alexander Zaytsev
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