Explain all parts of the equation y=mx+b
*will mark brainliest*

Step-by-step explanation:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and b is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named as the "slope-intercept form".The coordinates of every point on the line will solve the equation if you substitute them in the equation for x and y. The slope m of this line shows its steepness, or slant - It can be calculated like this:

                         m = change in y-value  /change in x-value

The equation of any straight line, called a linear equation, can be written as: y = mx + b

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer