IDNLearn.com provides a comprehensive platform for finding accurate answers. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.

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

Sagot :

Hi! Your answer is m = 4 or slope is 4.

Make sure to read an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:

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

The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".

From (2,4) and (3,8). We substitute the given coordinate points in the formula.

[tex]\huge{m=\frac{8-4}{3-2}}\\\huge{m=\frac{4}{1}}\\\huge{m=4}[/tex]

Hence, the slope is 4.

Additional Note

  • m-term comes from y = mx+b where m is defined as slope in slope-intercept form. Therefore, m = slope.

Hope this helps!