Question

On a coordinate plane, a line goes through points (negative 2, 0) and (0, 2). Study the graph of the line. Use the drop-down menu to find its equation. The equation of the line is .

Answer 1

Answer:

$y=x+2$

Step-by-step explanation:

Finding Slope:

We are given the points (-2,0) and (0,2).

Slope is $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{2-0}{0-(-2)}=\frac{2}{2} = 1$

The slope is one.

Finding the Y-intercept:

So far we have $y=x+b$.

We can use a point to find 'b', the y-intercept.

I will use (0,2):

$2=0+b\\2-0=0-0+b\leftarrow \text {Subtraction Property of Equality} \\\boxed {2=b}$

The y-intercept is 2.

Final Equation:

The equation of the line is $y=x+2$.

In slope equations, the 'one' is commonly hidden.

Answer 2

Answer:

y = x + 2

Step-by-step explanation: