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.
Slope-intercept form linear equations Video transcript So you may or may not already know that any linear equation can be written in the form y is equal to mx plus b. Where m is the slope of the line. The same slope that we've been dealing with the last few videos.
The rise over run of the line. Or the inclination of the line.
And b is the y-intercept. I think it's pretty easy to verify that b is a y-intercept. The way you verify that is you substitute x is equal to 0. If you get x is equal to remember x is equal to 0, that means that's where we're going to intercept at the y-axis. If x is equal to 0, this equation becomes y is equal to m times 0 plus b.
I don't care what m is. So then y is going to be equal to b. So the point 0, b is going to be on that line. The line will intercept the y-axis at the point y is equal to b. We'll see that with actual numbers in the next few videos. Just to verify for you that m is really the slope, let's just try some numbers out.
We know the point 0, b is on the line. What happens when x is equal to 1? You get y is equal to m times 1. Or it's equal to m plus b. So we also know that the point 1, m plus b is also on the line.
This is just the y value. So what's the slope between that point and that point? Let's take this as the end point, so you have m plus b, our change in y, m plus b minus b over our change in x, over 1 minus 0. This is our change in y over change in x. We're using two points. That's our end point.slope intercept form - two points Sketch the graph of each line without making a table of values.
Write the slope-intercept form of the equation of each line given the slope and y-intercept. 5) Slope =, y-intercept = 6) Slope = 18) through: (,), slope = Write the slope-intercept form of the equation of the line described.
19) through. Slope Intercept Calculator finds the equation in slope intercept form! Enter 2 points or 1 point and the slope, and we'll do the rest!
Learn to write equations in slope-intercept form for three different lines. Find the equation of the straight line that has slope m = 4 and passes through the point (–1, –6). Okay, they've given me the value of the slope; in this case, m = 4. Also, in giving me a point on the line, they have given me an x-value and a y-value for this line: x = –1 and y = –6.
Part 1) we know that. the equation of the line in slope-intercept form is equal to. where. m is the slope. b is the y-intercept. we have.
solve for y> equation of the line in slope-intercept form5/5(7). The vertical line shown in this graph will cross the x-axis at the number given in the equation. For this equation, the x-intercept is.
Notice this line will never cross the y-axis. A vertical line (other than x = 0) will not have a y-intercept. The line x = 0 is another special case since x = 0 is the equation of the y-axis.
Now that you have these tools to find the intercepts of a line.