Question

Find the equation of the linear function represented by the table below in slope-

Answer 1

Answer:

y = x + 4

Step-by-step explanation:

Let the equation of the linear function represented by the table is,

$y-y_1=m(x-x_1)$

where m = slope of the line

And this line passes through the points $(x_1,y_1)$ and $(x_2,y_2)$

Slope of the given line = $\frac{y_2-y_1}{x_2-x_1}$

From the given table two points lying on the function are (-4, 0) and (1, 5).

Slope 'm' = $\frac{5-0}{1+4}$ = 1

Therefore, equation of the linear function passing through (1, 5) and slope 1 will be,

y - 5 = (x - 1)

y = x + 5 - 1

y = x + 4