Question

the slope of the line that passes through the point (2 4) and (3 8) is​

Answer 1

Answer:

y - 4 = 4(x - 2)

Step-by-step explanation:

Please write these points as (2, 4) and (3, 8) (use commas and parentheses).

As we move from (2, 4) to (3, 8), x increases by 1 and y increases by 4.  Thus, the slope is m = rise/run = 4/1 = 4

and the equation of the line through these two points (in point-slope form) is

y - 4 = 4(x - 2)

Answer 2

The slope of the line that passes through the point (2 4) and (3 8) is​ 4

The formula for calculating the equation of a line passing through the point (x1, y1) and (x2, y2) is expressed using the formula:

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

Given the coordinate points (2 4) and (3 8), the slope is expressed as:

$m=\frac{8-4}{3-2}\\m=\frac{4}{1}\\m = 4$

Hence the slope of the line that passes through the point (2 4) and (3 8) is​ 4

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