Question

find the equation of the line having slope 1/2 have and containing the point ​

Answer 1

Answer:

i

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

There are a few different ways to find the equation of line from 2 points.

Slope Intercept Form

The first half of this page will focus on writing the equation in slope intercept form like example 1 below.

Point Slope Form

However, if you are comfortable using the point slope form of a line, then skip to the second part of this page because writing the equation from 2 points is easier with point slope form .

Steps:

Find the equation of a line through the points (3,7) and (5,11)

Step 1

Calculate the slope from 2 points

step 1 find slope

Step 2

Substitute the slope for 'm' in the slope intercept form of the equation

y = mx +b

y = 2x +b

Step 3

Substitute either point into the equation. You can use either (3,7) or (5,11)

Step 3

Step 4

Solve for b, which is the y-intercept of the line

Step 4 the y intercept

Step 5

Substitute b, -1, into the equation from step 2

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Answer 2

On the other hand, if I use the point (1, 2), I get: y = m x + b y = mx + b y=mx+b. 2 = − 2 3 ( 1 ) + b 2 = - \dfrac{2}{3} (1) + b 2=−32(1)+b. 2 = − 2 3 + b 2 = - \dfrac{2}{3} + b 2=−32+b. 6 3 + 2 3 = b \dfrac{6}{3} + \dfrac{2}{3} = b 36+32=b. 8 3 = b \dfrac{8}{3} = b 38=b.

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