Question

Pls help me im desperate bots are not supposed to post here

Answer 1

Answer:

y = $\frac{1}{2}x+8$

Step-by-step explanation:

From the table given in the picture,

Two points lying on the graph are (-4, 6) and (-2, 7)

Let the linear function is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Slope (m) = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of the line passing through (-4, 6) and (-2, 7) will be,

m = $\frac{7-6}{-2+4}$

m = $\frac{1}{2}$

y-intercept is a point for which x = 0

From the given table,

For x = 0, y = 8

Therefore, y-intercept (b) = 8

Equation of the linear function will be,

y = $\frac{1}{2}x+8$