Αποτελέσματα Αναζήτησης
Question 1: Draw the following graphs (a) x = 1 (b) x = 4 (c) x = −2 (d) x = 1.5 Question 2: Write down the equations of each of the lines shown below (a) (b) (c) Question 3: Draw the following graphs (a) y = 2 (b) y = −1 (c) y = −4 (d) y = 0.5
The graph y = 3x − 4 crosses the y-axis at the point A The graph x + y = 2 crosses the x-axis at the point B. O is the origin. (c) Write down the coordinates of the point A. (d) Write down the coordinates of the point B. (e) Find the area of triangle OAB.
In this unit, you will learn how to write equations of lines using the slope-intercept form of a line and the point-slope form. You will investigate transformations of the parent function, y = x, and learn how to graph linear equations in standard form using the x- and y-intercepts.
Intro. To Graphing Linear Equations. The Coordinate Plane. The coordinate plane has 4 quadrants. Each point in the coordinate plain has an x-coordinate (the abscissa) and a y-coordinate (the ordinate). The point is stated as an ordered pair (x,y). Horizontal Axis is the X – Axis. (y = 0) Vertical Axis is the Y- Axis (x = 0)
5 Linear Graphs and Equations 5.1 Coordinates Firstly, we recap the concept of ( x, y ) coordinates, illustrated in the following examples. Example 1 On a set of coordinate axes, plot the points A (2, 3), B (0, 4), C (– 2, 3), D (– 1, – 2), E (– 3, 0), F (2, – 4) Solution The x-axis and the y-axis cross at the origin, (0, 0).
Graphing Linear Equations using X/Y Tables Part 1: Tell whether the ordered pair is a solution of the equation. Just substitute the given x and y to see if the equation “works”. Write “solution” if it works and “not a solution” if it doesn’t. 1) y = 4x + 2; (2, 10) 2) 2x + y = 5; (7, 5) 3) y = 6 – x; (–3, 3)
A. GRAPHS. Any equation with first powers of x and/or y is referred to as a linear equation. When graphed, all ordered ( x , y ) pairs that satisfy a linear equation form a straight line. Example. Find 4 ordered pairs (including x and y intercepts) that satisfy 2 x + 3 y = 8 . Graph the line.
