# Write an equation in slope-intercept form of the line through points

So it takes us one to go to zero and then five more. So m, or the slope is the change in y over the change in x. It's a little bit steeper than a slope of 1.

Or, we can view it as the y value of our end point minus the y value of our starting point over the x-value of our end point minus the x-value of our starting point. So let's find its equation.

## Write an equation in slope-intercept form of the line through points

Remember, we want, we can find the equation y is equal to mx plus b. So y2, negative 4 minus y1, 6. We can first try to solve for m. We know that when is equal to negative 1, So y is eqaul to 6. So we are done. Slope-intercept form linear equations Video transcript A line goes through the points -1, 6 and 5, 4. So we can look at this graph over here. This is often described as rise over run, or the change in the y coordinates of the two points over the change in x coordinates. And the other point is 5,

Solving for Slope-Intercept Form From Two Points Imagine that you've been asked to write the slope-intercept equation for a line that passes through the points -3, 5 and 2, And the slope negative 5 thirds that's the same thing as negative 1 and 2 thirds.

You can see here the slope is downward because the slope is negative. Let me make that clear.

Line will draw a rough approximation. So 6 is the same thing as Let's do it over here.

## How to find the equation of a line with one point and no slope

Find the Slope of the Line Calculate the slope of the line. So y is equal to six when x is equal to negative 1 So negative 5 thirds times x, when x is equal to negative 1 y is equal to 6. I will draw a dotted line maybe Easier do dotted line. So it's this point, rigth over there, it's -1, 6. We can first try to solve for m. Even if you aren't handed these two pieces of information, you can use other data — like the location of any two points on the line — to figure it out. So we are done.

So we get b is equal to 13 thirds. And you don't have to draw it to do this problem but it always help to visualize That is my y axis.

I will draw a dotted line maybe Easier do dotted line. We can first try to solve for m.

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