Question 1023286

find the value of b satisfying the description.
The line through the points(-3,-1) and (4,b)with slope 5/3.
The value of b is?
<pre>{{{matrix(1,4, Slope, or, "m:", (y[1] - y[2])/(x[1] - x[2]))}}}
{{{matrix(1,4, Slope, or, "m:", (- 1 - b)/(- 3 - 4) = 5/3)}}}
{{{(- 1 - b)/(- 7) = 5/3)}}}
3(- 1 - b) = - 35 ------- Cross-multiplying
- 3 - 3b = - 35
- 3b = - 35 + 3
- 3b = - 32
{{{b = (- 32)/(- 3)}}} or {{{highlight_green(b = 10&2/3)}}}