The graph shows the points (-3,-1) and (2,4). what is the liner function? wright in y=mx+b format

Answer 1

To find the linear function in the y=mx+b format, we first need to find the slope (m) and the y-intercept (b) using the given points (-3, -1) and (2, 4).

The slope (m) is found using the formula: m = (y2 - y1) / (x2 - x1)
--> m = (4 - (-1)) / (2 - (-3))
--> m = (4 + 1) / (2 + 3)
--> m = 5 / 5
--> m = 1

Now that we have the slope (m), we can find the y-intercept (b) using the formula: b = y - mx (using either of the two given points)
Using the point (-3, -1):
b = -1 - (1 * -3)
b = -1 + 3
b = 2

Therefore, the linear function in y=mx+b format is:
y = 1x + 2