The sum of 7 and three times a number b is at least 12

The expression is 7+3b≥12

The solution is b≥5/3

Step-by-step explanation:

7+3b≥12

3b≥5

b≥5/3

a) 1/8

b) -10 m

c) y = x/8-10

Step-by-step explanation:

a) The slope of the line

We start by selecting two points on the graph

These are;

(0,-10) and (80,0)

The slope ;

m = y2-y1/x2-x1

m = (0+10)/(80-0) = 10/80 = 1/8

b) The y-intercept

This is where the graph crosses the y-axis

The point is (0,-10)

c) The equation

The equation is generally written as;

y = mx + c

where m is slope and c is y-intercept

Thus;

y = 1/8x -10