Question

Write the equation of the linear function shown on the graph enter your answer and y = mx + b form there's one point negative 3 negative 1 and another point two, four

Answer 1

To find the equation of the linear function, we first need to determine the slope (m) of the line using the two given points: (-3, -1) and (2, 4).

m = (4 - (-1)) / (2 - (-3))
m = 5 / 5
m = 1

Next, we can substitute the slope and one of the points into the point-slope form of the equation of a line, y = mx + b, to find the y-intercept (b). Let's use the point (-3, -1):

-1 = 1(-3) + b
-1 = -3 + b
b = 2

Now that we have the slope (m = 1) and the y-intercept (b = 2), we can substitute them back into the equation of a line to find the equation in y = mx + b form:

y = x + 2

So, the equation of the linear function shown on the graph is y = x + 2.