If the equation of a line is y= - 2/3 x - 2 at what.point on the graph would I find the y- intercept?

Mathematics

2 answers:

Aliun [14]3 years ago

5 0

Answer:

(0, -2)

Step-by-step explanation:

The slope equation is written as y = mx + b where m is the slope and b is the y-intercept. In this equation the slope, which is m, is -2/3 and the y-intercept is -2, which is the value of b. So the y-intercept on the graph would be found at point (0, -2)

77julia77 [94]3 years ago

3 0

Let y = mx +b, where m is the slope of the equation and b is the y-intercept.

So from the equation $y=-\frac{2}{3}x-2$ You'd find the y-intercept at (0,2). Alternative way, you can find the y-intercept by substituting x = 0 so -2x/3 will be 0 because x = 0 and -2x(0)/3 = 0-2 = -2.

So from the y = mx + b, you would find the y-intercept at (0,b)

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Please help problem 1, 2 and 3

laila [671]

Answer:

See attached

Step-by-step explanation:

When there is a lot of repetitive calculation to do, I like to let a spreadsheet or graphing calculator do it. The attached shows a spreadsheet that computes all the values you're asked to find.

For a linear equation in standard form, ax +by = c

the x-intercept is: c/a
the y-intercept is: c/b
the slope is: m = -a/b

Of course, the slope-intercept form of the equation is ...

y = (slope)·x + (y-intercept)

and the values of the various points on the graph can be computed from that equation.

___

You will note that the last two equations describe the same line.

_____

Note on spreadsheet formulas

When you put the formulas into the spreadsheet, make sure to fix the column number or row number of the values you're computing, as appropriate. For example, the y-values in the different columns always use the slope from the slope column (fixed), the y-intercept from that column (fixed), and the x-value from the top row (fixed). If you make the cell references relative instead of fixed, you will get wrong answers.