The equation for line passing through (6, 3) and (4, 1) could be written in slope-intercept form as 

Step-by-step explanation:

To find the equation of the line, we must first find the slope, then use the point-slope formula.

1. Find the Slope

The slope formula is the change in y over the change in x, or:

Where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points given in the problem are (6,3) and (4,1). Therefore:

Substitute the values into the formula.

Solve the numerator.

Solve the denominator.

Divide.

2. Find the Equation of the Line

We have the slope and a point, so we can use the point-slope formula.

We know the slope is 1 and we can pick either point to use for (x₁, y₁). Let's use (4,1).

Distribute the 1.

We want to find the equation in y=mx+b, so we must isolate the variable on one side of the equation.

1 is being subtracted from y and the inverse of subtraction is addition. Add 1 to both sides of the equation.

In slope-intercept form, the equation of the line is y=x-3

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,