Question

What is an equation of the line that passes through the points (-3,1) and (-4,0)

Answer 1

y = 1x + 4

Explanation:

Since this is a straight line, we can take any two points and calculate the Rise/Run, or slope, of the line.

Rise = (0-1) = -1

Run = (-4 - (-3)) = -1

Slope = Rise/Run = -1/-1 = 1

The line has the form of y = 1x + b, where b is the y intercept (the value of y when x = 0).

We can find a value of b that will force the line through both points. Given the form y = 1x + b, enter either of the two pints into the equation and solve for b. I'll use (-3,1),

y = 1x + b1

1 = 1*(-3) + b

b = 4

The equation is y = 1x + 4

See attached image.

Answer 2

y = x + 4

Explanation:

1. The slope = (1 - 0)/(-3-(-4)) =1
2. 1 = -3 + x, x =4
3. So, y = x + 4