Determine whether the given value is a solution of the equation. b
6; b =78
13
78 (select) a solution.

is 78 the solution or not

78 is a solution

Step-by-step explanation:

The given equation is b/13 = 6

Therefore, by applying the multiplication property of equality, we have by multiplying both sides by 13, we have;

b/13 × 13 = 6 × 13

The 13 in the denominator of b/13 divides the 13 in the multiplicand to give 1, and we get the following equation

b/13 × 13 = b × 1

Therefore;

b/13 × 13 = b × 1  = 6 × 13 = 78

b × 1 = 78

By the multiplicative identity property of '1', we get;

b × 1 = 1 × b = b

∴ b × 1 = b = 78

b = 78

∴ 78 is a solution of the equation.

The equation of the line is:

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

In which m is the slope and b is the y-intercept, that is, the value of y when x = 0.

(0,-2)

This means that the y-intercept is -2, that is, . So

Finding the slope:

When we have two points, the slope is given by the change in y divided by the change in x.

We have points  (6,-4) and (0,-2).

Change in y: -2 - (-4) = -2 + 4 = 2

Change in x: 0 - 6 = -6

Slope:

So the equation of the line is: