Question

Write an equation of each line that passes through the following points in slope-intercept form:

P (4, 1) and Q (3, –5)

help me please

Answer 1

y = 6x - 23

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points P(4, 1) and Q(3, -5). Substitute:

`m=(-5-1)/(3-4)=(-6)/(-1)=6`

The refore we have the equation:

`y=6x+b`

Put the coordinates of the point P(4, 1) to the equation:

`1=6(4)+b`

`1=24+b` subtract 24 from both sides

`-23=b\to b=-23`

Finally we have the equation:

`y=6x-23`