First, figure out the slope of the line by solving for the slope between the two given coordinates.
Slope = y2 - y1 / x2 - x1
Substitute the coordinates.
Slope = 2 - (-4) / 2 - (-1)
Slope = 2 + 4 / 2 + 1
Slope = 6 / 3
Slope = 2
So, the slope of the equation here is 2.
Next, look for the y-intercept. You can find the y-intercept by looking on the graph. At what coordinate does the line intersect or cross the y-axis? By looking at the graph, you can see that the line intersects the y-axis at the coordinate point (0, -2). So, your y-interceot is -2.
Now, choose the equation that has a slope of 2 and a y-intercept of -2.
Remember that the standard form of any given linear equation should be in slope-intercept form.
y = mx + b
Substitute the slope and y-intercept
y = 2x - 2
By doing this, you can eliminate choices 1 and 4 because the equation should have 2x to represent the slope of 2.
The best choice is 2x - y = 2.
You have a slope of 2x and if the equation is put in standard form you would have a y-intercept of -2.
Solution: 2x - y = 2