The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. what is the point-slope form of the equation for this line?

y – 3 = –(x + 8)
y + 3 = –(x – 8)
y + 8 = –(x – 3)
y – 8 = –(x + 3)

(D). y–8= –(x+3)

Step-by-step explanation:

Point-slope form is (y-y1)=m(X-X1)

Here, 'm' is the slope, y1 is the y coordinate, and X1 is the x coordinate. Using the slope intercept form of the equation, the slope (m) is negative one (-1), the y coordinate is 8, and the x coordinate is -3.

Since the x coordinate is already negative, the two signs form a positive. (X - -3) which is equal to (X+3).

Which is why you end up with y – 8 = –(x + 3)

step-by-step explanation: