Question

What is the equation of the line with an x-intercept of -1and a y-intercept of 2

Answer 1

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

2x - y = -2

Answer 2

y = (1/2)x + 1

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