25 points! (linear equations and slope) how do i solve for b in y=mx+b with only coordinates? provide a good explanation, along with an answer and another explanation for the example! here's the example: (i've changed numbers from the original question) what is the slope-intercept form of the equation of the line that contains the points (4, 2) and (8, -3) ?

You could do point-slope, but if you want to do it in slope-intercept:

y = mx + b

Using your example, we can start by finding the slope, which is . Plug in this slope and one of the points into the slope-intercept equation:

2 = (4) + b

Multiplying the slope, which has a denominator of 4, by 4 will just cancel out the denominator, giving you -5:

2 = -5 + b

Finish by adding 5 to both sides:

7 = b

Therefore, b = 7.

Hope this helps! :)

the first option is the answer.