Examine the linear graph to find the slope , y-intercept, and write the equation for this linear relationship ​

The slope of the line is:

The y-intercept b = 3

The slope-intercept equation of the line is:  

Step-by-step explanation:

Taking two points from the given graph

(0, 3) and (6, 0)

Determining the slope m

The slope between (0, 3) and (6, 0) using the formula

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

now substitute (x₁, y₁) = (0, 3) and (x₂, y₂) = (6, 0) in the slope formula

Thus, the slope of the line is:

Determining the y-intercept (b)

The slope-intercept form of the line equation is given by

where

From the graph, we can figure out the y-intercept by checking the value of y at x = 0.

If we closely check the graph, at x = 0, the value of y = 3

Therefore, the y-intercept b = 3

Slope-intercept Equation

We already know that the slope-intercept form of the line equation is

substituting b = 3 and m = -1/2

Therefore, the slope-intercept equation of the line is:  

The graph is also attached below.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.