And one way or another, it's gonna getcha. Whether you like it or not, math is all related. A line parallel to the graph of the line would have a slope. We won't harp too much more on the algebra of it all, but it's important to understand that it all ties together. Study with Quizlet and memorize flashcards containing terms like Consider the line y 2/3x - 4. Our final equation is y = ¼ x – 4, which is parallel to y = ¼ x – 3. To find b, we can plug in the point (4, -3) for x and y. We know that parallel lines have the same slope, so we can substitute ¼ for m to get y = ¼ x + b. Our first step is to start out with our new line's equation in slope-intercept form, y = mx + b. What is a line that's parallel to y = ¼ x – 3 and passes through the point (4, -3)? It's like when songwriters try to rhyme a word with the same exact word. If we do that, we'll end up with the equation for the original line, not a new one that's parallel to it. After that, all we need to do is plug in a point on that line (either given or chosen) and solve for b.īe careful though! We don't want to plug in a point that's on the original line because parallel lines don't intersect. That takes care of the m part in y = mx + b. If we want to find a line parallel to another line, all we need is the slope of the original line. Current in a parallel R-C circuit is the sum of the current through the resistor and capacitor. Plug in x = 0 for both equations and you'll see what we mean.) (In fact, they intersect at the y-intercept. Since they're not equal, the lines aren't parallel. Here, the slope of the first line is 6 and the slope of the second line is 3. Pentagons are polygons that contain five sides, so the parallel planes are parallel pentagons. Use the slope from a parallel line, along with any point to solve for b and youve got everything you need to write the equation of the line in slope-intercept form. In the case of linear equations, the slope of the line is the coefficient before x, otherwise known as m in y = mx + b. If two lines are parallel, they share the same slope, or m in the slope-intercept equation. ![]() Are these lines parallel?įor two lines to be parallel, their slopes must be the same. Two lines have equations of y = 6 x + 3 and y = 3 x + 3.
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