Question

Find the Y-Intercept

Answer 1

Answer:

The slope is -4/3 and the equation is y=-4/3x+1

Step-by-step explanation:

The easiest way to solve these types of problems is to use Desmos. Look closely at the graph, there is a table on the left with the x and y chart list that automatically adds points onto the graph and the equation of the line. You have to determine the distance between 2 of those points. I counted from coordinate (-3,5) to (0,1) The length between those two points makes a fraction of -4/3. So -4 down and 3 across. That is how you find the slope. Then you make the equation. y=-4/3x+1

Answer 2

Answer: (0.1)  m= -4/3  y= -4/3*x+1

Step-by-step explanation:

Our equation is wriiten this way : y=mx+b where m is the slope and b a constant

• let f be our function
• m = (f(6)-f(3))/6-3= (-7-(-3))/3 = -4/3
• so: y=-4/3x+b

To get b we need to replace y and x by the coordinates of a point :

• (0.1) an easy one
• 1 = -4/3*0+b
• 1= b
• so: y= -4/3*x+1

The intercepts with the y-axis are the images of 0

we can see from the table that f(0) = 1 so (0.1) is the intercept with the  y-axis