Contains the point (-1, 2) and is parallel to
x – 2y = -3

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = x + ← in slope- intercept form

with m =

• Parallel lines have equal slopes, thus

y = x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - + c ⇒ c = 2 + =

y = x + ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !

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step-by-step explanation: