Question

Write the equation of the line that passes through the given points.
1,2.5) and (0,-1.5)

Answer 1

y = 4x - 1.5

Explanation:

We need to find the slope (m) and the y-intercept (b), if we are writing this in the slop intercept form of a line.

y =mx + b

The slope is the change in y over the change in x.

The two points give us the y's ad x's

The y's are: -1.5 and 2.5

The x's are: 0 and 1

`(-1.5 - 2.5)/(0-1)` =
`(-4)/(-1)` = 4 A negative divided by a negative is a positive.

We have the slope. The slope is the point (0,b). We are given that point.

(o, -1.5) The y-intercept is -1.5

y =mx + b

y = 4x - 1.5