the graph shows the points (-1,4) and (1,0). what is the liner equation? wright in y=mx+b format

Answer 1

To find the linear equation in the y=mx+b format, we need to determine the slope (m) and the y-intercept (b).

Using the given points (-1,4) and (1,0), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

So, substituting the coordinates into the formula:

m = (0 - 4) / (1 - (-1))
m = -4 / 2
m = -2

Now, we can use the slope-intercept form of a linear equation, y = mx + b, and substitute the slope (m) and one of the points (x, y) to find the y-intercept (b).

Using the point (1,0):

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

Therefore, the linear equation in y=mx+b format, using the given points (-1,4) and (1,0), is:

y = -2x + 2