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Straight Line Graphs y = mx + c. LESSON AIM : To understand and use y = mx + c to draw and interpret straight line graphs. a - d. 2c + 4a. 3c - d. 2d - c. -3c + a. 5b - a. 3b + d. 2a + d. 6b + 4c. 4a - c. y. 5. 4. 3. 2. STARTER. 1. 0. x. -5. -4. -3. -2. -1. 1. 2.
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Straight Line Graphs y = mx + c LESSON AIM: To understand and use y = mx + c to draw and interpret straight line graphs.
a - d 2c + 4a 3c - d 2d - c -3c + a 5b - a 3b + d 2a + d 6b + 4c 4a - c y 5 4 3 2 STARTER 1 0 x -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 -4 -5 a = -2 b = 3 c = -1 d = 4
y = mx + c What does the m represent? INVESTIGATE!
y = mx + c What does the c represent? INVESTIGATE!
The general equation of a straight line is given in the form: y = mx + c The GRADIENT of the line The Y-INTERCEPT, where the line crosses the y-axis.
PLENARY TRUE TRUE FALSE or ? The equation y = mx + c applies to straight line graphs only
TRUE TRUE FALSE or ? In y = mx + c, x and y stand for the coordinates of the points on the line
TRUE TRUE FALSE or ? m stands for the gradient or steepness of the line
FALSE TRUE FALSE or ? c gives the point where the line cuts the x-axis
FALSE TRUE FALSE or ? To get the equation for a line sloping in the opposite direction to y = mx + c, c changes sign
TRUE TRUE FALSE or ? When c is zero, the line goes through the origin (0,0)
FALSE TRUE FALSE or ? The smaller the gradient, the steeper the line
FALSE TRUE FALSE or ? If a line goes through the origin and has a gradient of 2 the equation of the line is y = x + 2