# Write an equation given two points and slope

So it takes us one to go to zero and then five more. So let's see, this negative 1 times negative 5 thirds.

## Equation of a line formula

We started at x is equal to negative 1 and we go all the way to x is equal to 5. Now we just have to find our change in x. So we literally just substitute this x and y value back into this and know we can solve for b. So this y-intercept right over here. So that's going to be, let me do it over here We take a common denominator. And the other point is 5, And you don't have to draw it to do this problem but it always help to visualize That is my y axis. Solve for the Y-Intercept Choose either of the points you were given and substitute those coordinates into the equation you have so far. So the line connects them will looks something like this. And the slope negative 5 thirds that's the same thing as negative 1 and 2 thirds. So y2, negative 4 minus y1, 6. And we go down 4, So 1, 2, 3, 4 So it's right over there. It's not quite a negative 2.

So y2, negative 4 minus y1, 6. So we get b is equal to 13 thirds. Next, subtract the x values of your two points. Although the slope starts as a fraction, it's okay for it to simplify to a whole number; you don't have to leave it in fraction form.

And now we can subtract 5 thirds from both sides of this equation. The equation of our line is y is equal to negative 5 thirds x plus our y-intercept which is 13 which is 13 over 3. 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.

Now we just have to find our change in x. Find the Slope of the Line Calculate the slope of the line. Line will draw a rough approximation. You can look at that visually there or you can use this formula same exact idea, our ending x-value, our ending x-value is 5 and our starting x-value is negative 1.

## Slope equation calculator

You can look at that visually there or you can use this formula same exact idea, our ending x-value, our ending x-value is 5 and our starting x-value is negative 1. So that's going to be, let me do it over here We take a common denominator. Slope-intercept form linear equations Video transcript A line goes through the points -1, 6 and 5, 4. So this y-intercept right over here. It's negative 1 and 2 thirds. Line will draw a rough approximation. So the line connects them will looks something like this. Updated May 11, By Lisa Maloney Any straight line in Cartesian coordinates — the graphing system you're used to — can be represented by a basic algebraic equation. So we are done. And the other point is 5,

We know We know the slope and we know the y-intercept. So we now know our equation will be y is equal to negative 5 thirds, that's our slope, x plus b.

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