Answer:
Value of slope is -2 and y-intercept is 1
Step-by-step explanation:
We can see that the values in the table have a linear relationship.
A linear function is a straight line written as:
y = mx+b
Here,
m is the slope and b is the y-intercept
The slope is calculated by:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
We can take any two consecutive pairs in the table to calculate the slope.
Taking first two input-output pairs.
(x1,y1) = (-3, 7)
(x2,y2) = (-2, 5)
Putting the values
[tex]m = \frac{5-7}{-2+3}\\m= -2[/tex]
Putting the value of m in the general form
[tex]y = -2x+b[/tex]
To find the value of b, we will put any pair of input-output (x,y) in the equation
Putting the first pair
[tex]7 = -2(-3) +b\\7 = 6 + b\\b = 7-6\\b = 1[/tex]
Hence,
Value of slope is -2 and y-intercept is 1
