Question

A line intersects the points (0,-4) and (1,2) what is the slope intercept equation for this line?

Answer 1

Answer:

$y=6x-4$

Step-by-step explanation:

First we have to know how to write a equation in Slope-Intercept Form!

Slope-Intercept Form: $y=mx+b$

where y = y axis, m = slope, x = x intercept and b = y-intercept

Now start by solving the slope

To find the Slope, you must find two points

Two points will be: $(0,-4)$ and $(1,2)$

Then use the Slope-Formula to identify the slope

$m=slope$

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{2--4}{1-0}$

$m=\frac{6}{1}$

$m=6$

The Slope is 6

The y-intercept is already given by the point (0, -4)

Note: (this goes to this situation because the point has a 0 of x intercept)

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