Respuesta :

Answer:

y=3x+1

Step-by-step explanation:

Using the slope-intercept equation:

[tex]y=mx+b[/tex]

[tex]m = \text Slope\\ b = \text Y-intercept[/tex]

The y-intercept is (0,1).

[tex]b = 1[/tex]

We need to find the slope to replace [tex]m.[/tex]

Use the slope formula and points (-1, -2) and (1,4):

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{4-(-2)}{1-(-1)} =\frac{6}{2} =3\\m=3[/tex]

The slope is 3.

Replace m with three and b with 1.

[tex]y=3x+1[/tex]

The equation should be y=3x+1.

abigaeldalpaca

Answer:

y = 3x + 1

Step-by-step explanation:

The standard equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept. You can calculate slope counting rise over run or by labeling points as x1, y1, x2, y2 and calculating, but in this case you can easily see that when you rise up 3 units, you run 1 unit, making the slope 3. Now that we know m=3, look for b, or where the line crosses through the y- axis (the vertical axis). It is seen crossing through at 1, so you can now put those values into the equation and see that the line is y=3x+1. Hope this helps and let me know if you have any questions! :)

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