# Write an equation of the line through

This is the same exact thing as change in y and that over the x value of your ending point minus the x-value of your starting point This is the exact same thing as change in x. This is the slope-intercept form where m is the slope and b is the y-intercept. And the other point is 5, This right here is y2, our ending y and this is our beginning y This is y1.

So we're on the y-axis. We know We know the slope and we know the y-intercept. And you just have to pick one of these as the starting point and one as the ending point.

So our change in y, to go we started at y is equal to six, we started at y is equal to 6. They tell us we go through the-- Let me just, in a new color.

### Equation of a line formula

So let's say our line looks something like that. Let's just try to visualize this. We started at x is equal to negative 1 and we go all the way to x is equal to 5. So, hopefully, you found that entertaining. So we're on the y-axis. And since our line here has a negative slope, I'll draw a downward sloping line. So this is the point 0 comma b. Try sliding each bar back and forth, and see how that affects the line. They tell us what we go through the point 0 comma 8. So we now know our equation will be y is equal to negative 5 thirds, that's our slope, x plus b. So our slope here is negative 10 over 6.

So negative 1 coma, 1, 2, 3, 4 ,5 6. They tell us what we go through the point 0 comma 8. And we go down 4, So 1, 2, 3, 4 So it's right over there. And now we can subtract 5 thirds from both sides of this equation.

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