# Write an equation through two given points

Slope-intercept form linear equations Video transcript A line goes through the points -1, 6 and 5, 4. What is the equation of the line? What is the equation of this line in slope-intercept form? So any line can be represented in slope-intercept form, is y is equal to mx plus b, where this m right over here, that is of the slope of the line. And this b over here, this is the y-intercept of the line. Let me draw a quick line here just so that we can visualize that a little bit.

So that is my y-axis.

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And then that is my x-axis. And let me draw a line. And since our line here has a negative slope, I'll draw a downward sloping line. So let's say our line looks something like that. So hopefully, we're a little familiar with the slope already. The slope essentially tells us, look, start at some point on the line, and go to some other point of the line, measure how much you had to move in the x direction, that is your run, and then measure how much you had to move in the y direction, that is your rise.

And our slope is equal to rise over run. And you can see over here, we'd be downward sloping. Because if you move in the positive x direction, we have to go down.

If our run is positive, our rise here is negative. So this would be a negative over a positive, it would give you a negative number.

## Line (geometry) - Wikipedia

That makes sense, because we're downward sloping. The more we go down in this situation, for every step we move to the right, the more downward sloping will be, the more of a negative slope we'll have. So that's slope right over here. The y-intercept just tells us where we intercept the y-axis.

So the y-intercept, this point right over here, this is where the line intersects with the y-axis. This will be the point 0 comma b.YOUR TURN: Find the equation of the line passing through the points (-4, 5) and (2, -3). The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and urbanagricultureinitiative.com are an idealization of such objects.

Until the 17th century, lines were defined in this manner: "The [straight or curved] line is the first species of quantity, which has only one dimension, namely length, without any width.

Substituting this result into equation  gives the following solution to the diffusion equation when u0(x) = U0, a constant, and the boundary temperatures are zero.  If we substitute the equation for n into the summation terms we get the following result.

So, what do we do if we are just given two points and no slope? Let's find the equation of the line that passes through the points. This one's a two-stepper STEP 1: Find the slope.

continue. 1 2. Lines. What's the Slope of a Line? Finding the Slope of a Line from the Graph. Finding the Slope of a Line from Two Points. Write an equation of the line, in point-slope form, that passes through the two given points.

- /5(3). In the last lesson, I showed you how to get the equation of a line given a point and a slope using the formula. Anytime we need to get the equation of a line, we need two things.

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