The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have y-intercept b = 2. Therefore y = mx + 2.
x-intercept = -1 for y = 0. Substitute:
0 = m(-1) + 2 subtract 2 from both sides
-2 = -m change the signs
m = 2
Therefore y = 2x + 2.
The standard form: Ax + By = C.
2x + 2 = y subtract 2 from both sides
2x = y - 2 subtract y from both sides
Answer:
y = (1/2)x + 1
Step-by-step explanation:
Since the x-intercept is -2, the point (-2,0) lies on the graph of the line. Since the y-intercept is 1, the point (0,1) also lies on the line.
Therefore, the slope, m, is equal to (1-0) / (0-(-2)) = 1/2.
Equation of line: y = mx+b, where b is the y-intercept.
So, y = (1/2)x + 1
