Answer:
y = x + 1
Explanation:
y = mx + b
To write the equation, we need the m (slope) and the b (y-intercept)
Slope:
Slope is the change in y over the change in x. You find the change by subtracting.
The y values are 5 (4,5) and 7 (6,7).
The x values are 4 (4,5) AND 6 (6,7)
=
= 1
The slope (m) is 1.
y-intercept:
Choice one of the points given. I am choosing (4,5)
Use the y of 5 from the point (4,5).
Use the x of 4 from the point (4,5).
Use the slope (m) of 1.
Plug these numbers in to the equation and solve for b (y-intercept)
y = mx + b
5 = 1(4) + b
5 = 4 + b subtract 4 from both sides
1 = b.
The y-intercept (b) is 1.
The equation is
y = mx + b
y = 1x + 1 or y = x + 1
Helping in the name of Jesus.