Write an equation in slope intercept form of the line that satisfies the given conditions

Simply by changing the values of m and b, you can define any line.

write the equation in slope intercept form of the line that passes through the given point

This is the coordinate negative 3, 0. This is the coordinate 5 comma 0. So the negatives cancel out.

Use the given conditions to write an equation for the line in slope-intercept form

So I wanted to show you, this is the coordinate 2 comma 6. Just like the last problem, we start by figuring out the slope, which we will call m. So this is going to be equal to 2 minus negative 3. So let's put the 5 comma 0 there. So let's substitute those in. I just want to make sure that you understand that these are all the same things. For this line, the slope is , and the y-intercept is 4. If you evaluate the function at 1. The equation of this line is y is equal to negative 5x plus 6. I'm kind of viewing it as the endpoint. So you could just write f of x is equal to 2x right here.

So you get 0 is equal to plus b. Actually if you wanted to write it in function notation, it would be that f of x is equal to negative 2x.

Write an equation of the line that satisfies the given conditions calculator

Let's start with this one right here. This should give me the same answer. I just want to make sure that you understand that these are all the same things. So we now have the equation of the line. So, so far we know that the line must be, y is equal to the slope-- I'll do that in orange-- negative 2 times x plus our y-intercept. These are all equivalent ways of viewing the same thing. Let's solve for b. So let's substitute those in. I'll use the 5 comma 0 because it's always nice when you have a 0 there. So we get zero is equal to, well if we divide negative 3 by 3, that becomes a 1. And it has a y-intercept of 6. Let's figure out the equation of this graph. Well here we can just look at the graph. It looks like my delta y, my change in y, is equal to 4 when my delta x is equal to 1.

So what are we going to get? I just want to make sure that you understand that these are all the same things.

write an equation of the line that satisfies the given conditions calculator

So let's see what happens.

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Writing the Equation of a Line