Respuesta :
Answer:
y = -2x + 4
Step-by-step explanation:
The x-intercept would be the point (2,0) and the y intercept would have the point (0,4). Once we know two points we can write the equation in the line intercept for of y = mx + b.
We need to find the slope and the y intercept. The slope is the steepness of the line and it is the change in y over the change in x.
The ordered pairs are written in the form of (x, y). From our two points, we will subtract the y's to find the top number of our fraction.
0 - 4 = -4 that is the numerator (top number) of our slope. We do the same with the two x numbers that we have been given.
2 - 0 = 2 This is our numerator (or bottom number of our slope)
Our slope is -4 /2 to simplify, we divide the top and bottom number by 2 to get -2 / or just -2
Now that we have the slope we need to find the y-intercept. We can use either of our original two points and our slope to determine the y-intercept. It does not matter if you use the point (2,0) or (0,4). I will use (2,0) and the slope of -2
y = mx + b
0 = -2(2) + b
0 = -4 + b add 4 to both sides of the equation
4 = b
Now that we have the slope and the y-intercept, we can write the equation
y = mx + b
y = -2x + 4
