Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Slopes of parallel and perpendicular lines Video transcript We're asked what is the equation of line B? And they tell us that line A has an equation y is equal to 2x plus And they say that the line B contains the point 6, negative 7.
And they tell us lines A and B are perpendicular, so that means that slope of B must be negative inverse of slope of A. So what we'll do is figure out the slope of A, then take the negative inverse of it. Then we'll know the slope of B, then we can use this point right here to fill in the gaps and figure out B's y-intercept.
So what's the slope of A? This is already in slope-intercept form. The slope of A is right there, it's the 2, mx plus b.
So the slope here is equal to 2. So the slope of A is 2. What is the slope of B? So what is B's slope going to have to be? Well, it's perpendicular to A, so it's going to be the negative inverse of this. So we know that B's equation has to be y is equal to its slope, m times x plus some y-intercept.
We still don't know what the y-intercept of B is, but we can use this information to figure it out. We know that y is equal to negative 7 when x is equal to 6. I just know that this is on the point, so this point must satisfy the equation of line B.
So let's work out what b must be-- or what b, the y-intercept, this is a lowercase b, not the line B. That's not a b there, that's a 6. It's negative 3, is equal to negative 3 plus our y-intercept.
Let's add 3 to both sides of this equation, so if we add 3 to both sides-- I just want to get rid of this 3 right here-- what do we get? The left-hand side, negative 7 plus 3 is negative 4, and that's going to be equal to-- these guys cancel out-- that's equal to b, our y-intercept.
So this right here is a negative 4. And its y-intercept we just figured out is negative 4. And we are done.Parallel Line Calculator Find the equation of the parallel line step-by-step. Second, a focus on practices (in the plural) avoids the mistaken impression that there is one distinctive approach common to all science—a single “scientific method”—or that uncertainty is .
Oct 30, · Write a slope-intercept equation of the line whose graph is parallel to y = x and has the y-intercept (0,4) The line is y = x+4 Write a slope-intercept equation of the line whose graph is perpendicular to 7x+6y=5 and has the y-intercept (0,-9) The line is y = Status: Resolved.
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (í1, 2), 62/87,21 Use the point-slope form formula to find the equation for the parallel line. (9, 12), y = 13x í 4.
This is the parallel line that they'd asked for, and it's in the slope-intercept form that they'd specified. For the perpendicular line, I have to find the perpendicular slope.
The reference slope is m = 2 / 3. Writing linear equations using the slope-intercept form. You can use this equation to write an equation if you know the slope and the y-intercept.
Example. Find the equation of the line. Choose two points that are on the line.
Calculate the slope between the two points.