Answer:
second option, x + 2y = 3
Explanation:
The slope intercept form is y = mx + b
y = y coordinate
m = slope
x = x coordinate
b = y intercept
The y - intercept is when x = 0
In the table its shown that (0, 3), y = 3 so b = 3
The slope (gradient) is a number that describes both the direction and the steepness of the line.
slope = rise / run =
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
x is increasing by 1 (run)
y is decreasing by 2 (rise)
rise / run = -2 / 1 = -2
so the slope is -2
our slope intercept equation is, y = -2x + 3
Choice:
Some choice are in standard form so we need to convert to slope intercept
- y = x + 3 is already in the correct form
- 2x + y = 3 becomes y = -2x + 3
subtract 2x from both sides, 2x - 2x + y = 3 - 2x
- x + 2y = 3 becomes y = -1/2x - 3/2
subtract x from both sides, x - x + 2y = 3 - x becomes 2y = 3 - x
divided both sides by 2, 2y / 2 = (3 - x) / 2
subtract x from both sides, x - x - y = 0 - x than switch signs
which option matches?!
THE SECOND ONE