e steepness of the line (how much $y$ changes for each increase of 1 in $x$).","points":1},{"id":"a27c3b4c-20b0-4576-b19f-6714894d78a4","cardType":"basic","front":"State the simple formula for gradient using vertical and horizontal change.","back":"$$$\\text{gradient} = \\frac{\\text{rise}}{\\text{run}}$$","points":1},{"id":"f9aa368d-d6c1-4b8c-b3ef-713049a8654e","cardType":"basic","front":"When finding the gradient from a graph, how should you choose your two points?","back":"Pick points where the line passes exactly through grid intersections.","points":1},{"id":"3861dbff-9ae1-4851-aaf4-066fc73f1273","cardType":"cloze","front":"In the formula $\\text{gradient} = \\frac{\\text{rise}}{\\text{run}}$, the rise is the [ ] change and the run is the horizontal change.","back":"In the formula $\\text{gradient} = \\frac{\\text{rise}}{\\text{run}}$, the rise is the vertical change and the run is the horizontal change.","points":null},{"id":"0021e8f8-eaa2-42b0-966f-2bbbc7da4f5e","cardType":"cloze","front":"In the formula $\\text{gradient} = \\frac{\\text{rise}}{\\text{run}}$, the rise is the vertical change and the run is the [ ] change.","back":"In the formula $\\text{gradient} = \\frac{\\text{rise}}{\\text{run}}$, the rise is the vertical change and the run is the horizontal change.","points":null},{"id":"41f8807a-48d6-4802-9f4e-308bbc80c4cb","cardType":"basic","front":"How can you tell if a line has a positive gradient just by looking at a graph?","back":"The line slopes upwards from left to right.","points":1},{"id":"dce2404a-0a87-4f1c-a9a8-aa126c63e1a3","cardType":"basic","front":"How can you tell if a line has a negative gradient just by looking at a graph?","back":"The line slopes downwards from left to right.","points":1},{"id":"f16bbc6b-cfff-421b-828e-a9b65dc6a0bd","cardType":"basic","front":"What is the common mistake when calculating the rise of a line that slopes downwards?","back":"Counting the vertical change as positive instead of negative.","points":2},{"id":"a6f18846-9d8c-4eba-8fc7-0d5506ed86ea","cardType":"cloze","front":"If a line goes up 1 square for every 3 squares it moves to the right, its gradient is $\\text{[...]}$.","back":"If a line goes up 1 square for every 3 squares it moves to the right, its gradient is $\\boxed{\\frac{1}{3}}$.","points":null},{"id":"cf97f65e-014e-4336-b018-e6be332a4142","cardType":"basic","front":"State the coordinate formula for gradient between $(x_1, y_1)$ and $(x_2, y_2)$.","back":"$$$\\text{gradient} = \\frac{y_2 - y_1}{x_2 - x_1}$$","points":1},{"id":"bb40d29c-4cfe-49ef-8dc3-f630db262cc9","cardType":"basic","front":"What is the consistency rule when using the coordinate formula $\\frac{y_2 - y_1}{x_2 - x_1}$?","back":"The order of points must be the same for both the top and bottom (e.g. if you start with $y_2$, you must start with $x_2$).","points":2},{"id":"4d1a4b22-f74c-4246-8e12-7e9300b12309","cardType":"basic","front":"What is the gradient of any horizontal line?","back":"0","points":1},{"id":"6849a215-9a29-4b05-a27b-b5acbedede34","cardType":"basic","front":"Why is the gradient of a vertical line considered undefined/not allowed?","back":"The change in $x$ is 0, and you cannot divide by zero.","points":2},{"id":"25df227c-de23-46b9-93c9-d6da7f8432eb","cardType":"cloze","front":"A horizontal line has a gradient of [ ] because its $y$-value does not change.","back":"A horizontal line has a gradient of

Gradient of a Line Flashcards

Gradient of a Line Flashcards

Gradient of a Line Flashcards

Gradient of a Line Flashcards