Question

what is the slope intercept equation of the line that includes (0,7) and (3,10) ?

Answer 1

7 is the y intercept, it is given as one of the points to is our b.
The slope can be found by 7-10 over 0-3 which is -3/-3 which is 1. 1 is our m.
so with the slope and intercept we plug it into the formula to get:
y = x + 7

Answer 2

Answer:

y = 1x + 7

simplifies to:

y = x + 7

Step-by-step explanation:

first we need to find the slope or m:

y2 - y1 divided by x2 - x1

10-7 divided by 3-0 =

3/3 = 1

slope is 1

then we need to find the y intercept or b:

Usually you would choose one of the points and find the y intercept but the first point is the y intercept    (0,7).      7 is the y intercept

plug it into the equation:

y = mx + b

y = 1x +7

y = x + 7