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alexargoonkim

Answer:

y = 3x -2

Step-by-step explanation:

The slope is three because for every one x-axis value, the y-axis values increase by 3 units.

You might learn this as "rise over run" which is the amount of y values per x.

Slope intercept form is y = mx + b where m is the slope and b is the y-intercept (the y-value when x = 0).

The slope is said to be 3 as stated before, so it is now

y  = 3x + b, and b would be -2, because the line intersects the y-axis at -2.

y = 3x -2

Answer:

[tex]y=3x-2[/tex]

Step-by-step explanation:

Step 1: Finding the slope

To find the slope, we can use the formula:

[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]

Find two points the intercepts another line

[tex](0,-2)\\(1,1)[/tex]

Plug these points into the formula

[tex]\frac{1-(-2)}{1-0}= \frac{3}{1} \\\\m=3[/tex]

The slope is 3.

Step 2: Finding the y-intercept

Usually, to find the y-intercept, you need to already know/find the slope (which we've done) then plug any one of the x and y values into the slope-intercept formula, and solve.

However, we already see a line crossing the y-axis at -2, and that is the y-intercept.

The y-intercept is -2.

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