Answers are
1) equation is y = 3x + 17
2) slope is rate of 3
3) y intercept is 17
4) how many weeks to reach 65 cm? 16
Step by step
Using points (0,17) and (4,29)
Find slope by using y2 - y1 over x2 - x1
29 - 17 over 4 - 0 = 12/4 simplified to 3
Your slope (m) is 3
Now using point slope form we can find the equation of the line using slope of 3 and (0, 17)
y - y1 = m (x - x1)
y - 17 = 3 (x - 0)
Distribute multiply
y - 17 = 3x
Add 17 to both sides to isolate y
y - 17 + 17 = 3x + 17
Simplify
y = 3x + 17
This is your equation for the line
Now let’s answer questions
1) equation is y = 3x + 17
2) slope is rate of 3
3) y intercept is 17
4) how many weeks to reach 65 cm?
Using our equation y = 3x + 17
we are solving for x,
we know our output (y) is 65
65 = 3x + 17
Subtract 17 from both sides to isolate x
65 - 17 = 3x
Simplify
48 = 3x
Divide both sides by 3 to solve for x
48/3 = 3/3 x
16 = x
So it will take 16 weeks
to reach 65 cm height