Question

?In the table below, y is a linear function of x.X-214710y09182736What is the y intercept of the function

Answer 1

y intercept : (0,6)

Explanation:

Use the formula:

. y = mx + b

Find m (the slope), using 2 random points of the graph: (-2,0) and (1,9)

. m = (y-y1) / (x-x1)

m = (0-9) / (-2-1)

m = -9 / -3

m = 3

Replace m in the equation:

. y = 3x + b

Find b by replacing y and x by a random point of the graph: (1,9)

. 9 = 3*1 + b

b = 9 - 3

b = 6

Replace b in the equation:

. y = 3x +6

To find the y-intercept replace x by 0 in the equation:

. y = 3*0 +6

y = 0+6

y = 6

=> y-intercept : (0,6)