Question

A) What is the equation of the line in slope-intercept form?

B) What is the equation of the line parallel to y = 2x – 3 passing through (3,-7)?

Options:
1) y = 2x + 1
2) y = 2x - 7
3) y = -2x + 1
4) y = -2x - 7

Answer 1

The equation of the line parallel to y = 2x - 3 passing through (3,-7) is y = 2x + 12.

Step-by-step explanation:

To find the equation of a line in slope-intercept form, we need to know the value of the slope (m) and the y-intercept (b). The equation y = mx + b represents a line in slope-intercept form, where m is the slope and b is the y-intercept.

For the given equation y = 2x - 3, the slope is 2 and the y-intercept is -3. Since we want to find the equation of a line parallel to this line and passing through the point (3,-7), the slope will remain the same.

Therefore, the equation of the line parallel to y = 2x - 3 passing through (3,-7) is y = 2x + 12.