Complete the equation of the line through (1,4) (2,2)

Question

answer had to be in y=mx+b format

Answer 1

The slope- intercept form of the equation of a line is : y = mx + b

The slope is represented by m and the y-intercept is represented by b.

You can use the coordinates of the two points to find the slope:

m = (y ₂ - y ₁)

(x ₂ - x ₁)

For this problem:

m = (4 - 2 ) = 2

(1 - 2) -1

To determine the y-intercept , substitute the coordinates of either point into the slope-intercept equation using a slope of -2:

y = mx + b

y = -2 • x + b

Using (1,4):

4 = -2 • 1 + b

4 = -2 + b

b = 6

The equation of the line will be : y = -2•x + 6

Answer 2

First, find the slope:

Slope = (y2-y1)/(x2-x1) = (4-2)/(1-2) = 2/-1 = -2

Next, use the following equation

(y-y1)=m(x-x1) Plug in the slope and one of the points. Will use (2,2)

(y-2)=-2(x-2) Distribute the -2

y-2=-2x+4 Add 2 to both sides

y-2+2=-2x+4+2

y=-2x+6