Question

write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"

Answer 1

-1 = 1/3 * 6 - 3

Explanation:

So if it goes through point (6, -1) and has a slope of -1/3, all of this is parts of the slope intercept equal, Y = mx - B. You have the slope, which is m in the equation, y = -1/3 x - b. you already have a y and x which are the points passed, -1 = -1/3 * 6 - b, but this can't equal y, so you must have did it wrong, the only way this could equal y is if the slope wasn't negative, and in that case it would be -1 = 1/3 * 6 - 3. Because 1/3 * 6 is 2 and then subract 3 and you get -1.

Answer 2

• y = - 1/3x + 1

Explanation:

We need to find the equation of the line with:

• Slope m = - 1/3
• Passes through the point (6, - 1)

The slope intercept form is:

• y = mx + b

We have the slope, find the y-intercept by substituting the coordinates and slope values into equation above:

• -1 = (-1/3)*6 + b
• - 1 = - 2 + b
• b = 2 - 1
• b = 1

The line is:

• y = - 1/3x + 1