Write an equation of a line through the given points

Asked by admin @ 09/11/2021 in Mathematics viewed by 329 People

7. Write an equation of the line that passes through points (3, 7) and (5, 11).

Answered by admin @ 09/11/2021

Answer:

$y=2x+1$

Step-by-step explanation:

We are asked to write an equation of that line that passes through points (3, 7) and (5, 11).

First of all, we will find slope of our given line using the coordinates of given points as:

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

$m=\frac{11-7}{5-3}$

$m=\frac{4}{2}$

$m=2$

Now, we will write our given equation in slope-intercept form $y=mx+b$ , where m represents slope and b represents y-intercept.

Let us find the y-intercept using coordinates of point (3,7) and slope as:

$7=2*3+b$

$7=6+b$

$7-6=6-6+b$

$1=b$

Therefore, our required equation in slope-intercept form would be $y=2x+1$ .

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