Question

22
m = 2
(-1, 2)

Explanation:

Step1: Recall point - slope formula

The point - slope form of a linear equation is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope of the line.
Here, $m = 2$, $x_1=-1$ and $y_1 = 2$.

Step2: Substitute values into the formula

Substitute $m = 2$, $x_1=-1$ and $y_1 = 2$ into the point - slope formula:
$y-2=2(x - (-1))$
Simplify the right - hand side: $y - 2=2(x + 1)$

Step3: Expand and simplify to slope - intercept form (optional, but common)

Expand the right - hand side: $y-2=2x+2$
Add 2 to both sides of the equation: $y=2x + 2+2$
So, $y=2x + 4$

If we want to write it in standard form ($Ax+By = C$):
Subtract $y$ from both sides: $2x - y+4 = 0$
Subtract 4 from both sides: $2x - y=-4$

Answer:

If in slope - intercept form: $y = 2x+4$; if in point - slope form: $y - 2=2(x + 1)$; if in standard form: $2x - y=-4$ (depending on the required form of the linear equation)