Question

I need help finding b for a line that passes through 0,3 and 4,9 with a slope of 1.5

Answer 1

Given:

The points are

`(0,3),(4,9)`

To find:

The value of b.

Step-by-step explanation:

Using the two-point formula,

`(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)`

Substituting the values we get,

`\begin{gathered} (y-3)/(9-3)=(x-0)/(4-0) \\ (y-3)/(6)=(x)/(4) \\ (y-3)/(3)=(x)/(2) \\ y-3=(3)/(2)x \\ y=(3)/(2)x+3 \\ y=1.5x+3 \end{gathered}`

It is of the slope-intercept form,

`y=mx+b`

Comparing we get,

The value of b is 3.

Final answer:

The value of b is 3.