How to find slope intercept form with two points?

The slope intercept is a line that passes through the origin and has a slope of m. The equation of the slope intercept is y=mx+b. The slope is m and the y-intercept is b. Do you want to know “How to find slope intercept form with two points?” So, if the slope is 3 and the y-intercept is 2, the equation of the slope intercept would be y=3x+2.

Slope intercept form is the most basic form of a linear equation and is the easiest form to use when graphing linear equations. A slope intercept can also be written in the form y=mx+c, where c is the intercept of the line with the x-axis. In this case, the slope is still m and the y-intercept is c. So, if the slope is 3 and the x-intercept is 2, the equation of the slope intercept would be y=3x+2.

How to find slope intercept form with two points?

To find the slope-intercept form with two points, you need to find the slope and the y-intercept.

To find the slope, use the formula:

m = (y2 – y1)/(x2 – x1)

To find the y-intercept, use the formula:

b = y – mx

where y is the y-coordinate of one of the points and x is the x-coordinate of the same point.

Plugging in the slope and y-intercept into the slope intercept form equation, you get:

y = mx + b (Where m is the slope and b is the y-intercept.)

Read Also: How to find the scale factor of a dilation?

How do you find slope intercept form when given two points?

The slope intercept form is y=mx+b. You need to find the slope (m) and the y-intercept (b) to find it. To do this, you can use the formula y2-y1/x2-x1 for slope. This will give you the slope using two points. The y-intercept is where the line will cross the y-axis. To find this, you can use the formula y-mx=b. This will give you the y-intercept using the slope and one point.

For the points (4,10) and (6,15), the slope would be calculated like this: m=(15-10)/(6-4)=5/2

The y-intercept would be calculated like this: b=10-5/2(4)=10-2.5=7.5

So, the slope intercept form for this line would be y=5/2x+7.5

what is the formula to find slope intercept form when given two points?

y-y1=m(x-x1)

or, (y2-y1)/(x2-x1)=m

The first equation is the standard form of the equation of a line. The second equation is the slope-intercept form of the equation of a line.

Given two points, (x1, y1) and (x2, y2), the slope of the line through those points is:

m = (y2-y1)/(x2-x1)

The slope-intercept form of the equation of the line is: y = mx + b

where b is the y-intercept of the line. Substituting the known values of m and one of the points gives:

b = y1 – mx1

or, b = y2 – mx2

Thus, the equation of the line through the given points is:

y = (y2-y1)/(x2-x1)x + (y1 – ((y2-y1)/(x2-x1))x1)

or, y = (y2-y1)/(x2-x1)x + (y2 – ((y2-y1)/(x2-x1))x2)

Summary

The slope-intercept form is y=mx+b. To find the slope, m, take the x-coordinates of the two points and subtract them. Then, take the y-coordinates of the two points and subtract them. Divide that answer by the answer from before. This is your slope, m. To find b, take any of the points and plug in the coordinates for x and y into y=mx+b. Then, solve for b.

Suzanna N. Alejos

I am Suzanna Alejos. I write articles for many different online publications, and manage my own blog where I share my thoughts on a variety of topics.

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