Question

What is the slope and y-intercept from the table below?

Answer 1

Answer:

The equation is y = -5x + 55

Slope = -5

y-intercept = 55

Step-by-step explanation:

The given table shows the different coordinates of points on a straight line.

The general equation of a line is y = mx + b

where m is the slope and b is the y intercept.

Actually , here only 2 values are needed but there are 4 values                       given which is just to check whether our line is correct or not.

Substitute values of x and y in the equation.

Put (1,50),

50 = m + b    ----------(1)

Put (2,45),

45 = 2m + b    -----------(2)

Solve (1) and (2),

Slope , m = -5

y-intercept , b = 55

Hence , the equation is y = -5x + 55.