The following table of values represents a line.

x | y
-10 | 19
0 | -1
10 | -21
50 | -101
Identify the equation of the line. Write the equation in slope-intercept form.

My answer: −2x+(−1)
The answer came out incorrect, and the correct answer was −2x+−1, did i make an error?

Fzg

Yes, you made a slight formatting error in your answer. The correct equation for the line in slope-intercept form is -2x - 1.

To find the equation of a line in slope-intercept form (y = mx + b), you need to determine the slope (m) and the y-intercept (b).

To find the slope, you can use any two points on the line. Let's use the points (0, -1) and (10, -21):

m = (y2 - y1) / (x2 - x1)
= (-21 - (-1)) / (10 - 0)
= (-20) / 10
= -2

So the slope (m) of the line is -2.

Next, we can find the y-intercept (b) by substituting one of the given points into the equation y = mx + b, and solving for b. Let's use the point (0, -1):

-1 = -2(0) + b
-1 = 0 + b
b = -1

Finally, we can write the equation of the line in slope-intercept form:

y = -2x - 1