Answer
The equation of that specified line is : $y = -x + 1$
Work Step by Step
1. The pattern equation for a line is:
$y = mx + b$
2. ($-1 ,2$) is point 1, and ($1,0$) is point 2. Now, use the formula to calculate the slope of that line:
$m = \frac{\Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1} = \frac{0 - (2)}{1 - (-1)} = \frac{-2}{2} = -1$
Equation: $y = -x + b$
3. Now we can use a point to solve for b.
Since, the line pass through $(1,0)$, we know that x = 1 and y = 0 is a solution for that equation, so we can substitute these values and solve for b.
$0 = -(1) + b$
$+1 = -1 + b + 1$
$1 = b$
4. Now, rewrite the equation of the line, substituting the value for m and b:
$y = -x + 1$
