Question

give a equation whose solution set is the line joining (2,3) and (-4,6). what is its equation in slope-intercept form what are its x and y intercepts

Answer 1

First we have to get the slope using the slope formula for "m"\[m = \frac{ y _{1} - y _{2} }{ x _{1} - x _{2} }\]So, m = (6 - 3)/(-4 - 2) = -1/2

Next, we use the point-slope formula:\[y - y _{1} = m(x - x _{1})\]y - 6 = (-1/2)(x + 4)

And lastly, we put this into slope-intercept form:

y = (-1/2)x + 4

The intercepts are: (0, 4) and (8, 0)

Answer 2

All good now @ttford8142 ?

Answer 3

yes thanks

Answer 4

Good luck to you in all of your studies and thx for the recognition! @ttford8142