Question

Which equation represents a line in slope-intercept form passing through the point (-6, -3) with a slope of 1?

a) y = x + 3
b) y = x - 9
c) y = x + 33
d) y = x - 15

Answer 1

The equation that represents a line in slope-intercept form passing through the point (-6, -3) with a slope of 1 is y = x + 3 (option a).

Step-by-step explanation:

The equation that represents a line in slope-intercept form passing through the point (-6, -3) with a slope of 1 is y = x + 3 (option a).

In slope-intercept form, the equation is in the form of y = mx + b, where m represents the slope and b represents the y-intercept.

1. Start with the equation y = mx + b, where m is the slope and (x, y) is a point on the line.
2. Substitute the given slope, m = 1, into the equation.
3. Substitute the coordinates of the given point (-6, -3) into the equation.
4. Simplify the equation to get the final answer y = x + 3.