Answer:
3x +y = 4
Explanation:
You want the standard-form equation of the line that passes through points (0, 4) and (1, 1).
Slope-Intercept form
The slope of the line is readily identified from the graph. From the y-intercept at (0, 4), the line decreases 3 grid squares for each 1 grid square to the right. The slope is ...
m = rise/run = -3/1 = -3
The y-intercept is (0, 4), so the slope-intercept equation is ...
y = mx +b . . . . . line with slope m and y-intercept (0, b)
y = -3x +4
Standard form
The standard form of the equation of a line is ...
ax +by = c
where a, b, c are mutually prime, and the leading coefficient is positive.
We can get this form from the slope-intercept form by adding the opposite of the x-term to both sides:
3x +y = -3x +3x +4 . . . . . 3x added to both sides
3x +y = 4 . . . . . . . . . simplify to standard form