Question

What is the equation of the line that passes though the point (-3.0) and has a slope of -1/3

Answer 1

To find the equation of a line that passes through a given point and has a given slope, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept.

Step-by-step explanation:

To find the equation of a line that passes through a given point and has a given slope, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept.

1. Given the point (-3, 0) and a slope of -1/3, we can substitute these values into the slope-intercept equation to find b.
2. We have -1/3 = m, so the equation becomes y = -1/3x + b.
3. Now we substitute the coordinates of the given point (-3, 0). We have 0 = -1/3(-3) + b. Solving for b, we get b = 1.
4. Therefore, the equation of the line is y = -1/3x + 1.