Write the equation of the line with x-intercept of -4 and y-intercept of 2. Hint:With those intercepts, (-4,0) and (0,2) are points on the line.

Question

Write the equation of the line with x-intercept of -4 and y-intercept of 2. Hint:With those intercepts, (-4,0) and (0,2) are points on the line.

Answer 1

Given the points (-4,0) and (0,2)

1. First we need to find the slope m. We can use the formula y2-y1 = m(x1-x2)
2. Plug in the x and y values. 2-0 = m(0 -[ -4]) =

2 = 4m

m = 1/2

Use y= mx + b where b is the y-intercept. The y-intercept is where x = 0. One of the

coordinates given x= 0 when y= 2. The y-intercept is 2.

Plug the y-intercept back into the y = mx + b formula, the final equations is y = 1/2x + 2.

The answer can be checked by plugging in either of the given point back in to the solved formula.

For instance to check the formula for points (0,2) and (-4,0),

Using (0,2), plug in x = 0 to see if y= 2. y = (1/2)*0 + 2 = 2. and

Using (-4,0), plug in x = -4 to see if y = 0 y = 1/2 *-4 + 2 = 0

Both of these checked out, therefore the answer y = 1/2x + 2. is correct

Answer 2

m= Δy/Δx = (2-0)/(0- - 4) = 1/2

y = mx+b

b = 2

y = x/2+2