Question

The equation of the line passing through the points (6, 9) and (4, 17) can be expressed as y = mx + b. Give the value of b

Answer 1

The slope -intercept form of linear equation is y=mx+b.

Where m= slope and b=y-intercept.

Formula to find m is,

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

The line passes through (6,9) and(4, 17). So, we can plug in x1=6, y1=9, x2=4 and y2=17 in the above formula. So,

`m=(17-9)/(4-6)`

`m=(8)/(-2)`

So, m=-4

Now we can plug in m=-2, x=6 and y=9 in y=mx+b to get the value of b. So,

9=(-4)*(6)+b

9=-24+b

9+24=b Adding 24 to each sides.

So, b=33.