Question

Write the slope-intercept form of the equation of the line described.

1) through: (3, 0), parallel to y=2/3 x + 1

2) through: (4, 1), parallel to y= -1/2 x + 2

Answer 1

1) y = 2/3x - 2

2) y = -1/2x + 3

Explanation:

1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = 2/3x + c

0 = 2/3(3) + c

0 = 2 + c

0 - 2 = c

- 2 = c

Therefore, the slope-intercept form for the first part is y = 2/3x - 2.

2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = -1/2x + c

1 = -1/2(4) + c

1 = -2 + c

1 + 2 = c

3 = c

Therefore, the slope-intercept form for the second part is y = -1/2x + 3.