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Saved as: Chapter 3 page 105 Slope of a line. SLOPE OF A LINE. Text page 105. Take Note. Points that lie on the same line are collinear points. The line y = mx + b is a straight line with slope m and y-intercept b . The value of m indicates the direction and steepness of a line.
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Saved as: Chapter 3 page 105 Slope of a line SLOPE OF A LINE Text page 105
Take Note • Points that lie on the same line are collinear points. • The line y = mx + b is a straight line with slope m and y-intercept b. • The value of m indicates the direction and steepness of a line. • The value of b indicates where the graph intersects the y-axis.
Draw a line through the points A(1,-2) and D(4,4). Find the coordinates of 2 more points on the line. Question: Step 1: find the slope of the line Step 2: use the slope to move up or down; back or forth from a given point. Step 3: repeat!
Draw a line through the points A(1,-2) and D(4,4). Find the coordinates of 2 more points on the line. SOLUTION
A line has a slope of -2. It passes through the points (k,2) and (4,-2). What is the value of k. YOU TRY
A line has a slope of -2. It passes through the points (k,2) and (4,-2). What is the value of k. SOLUTION Plot the second point (4,-2) Move left 1 space and up 2 spaces until you reach the y-coordinate of 2 Look at the x-coordinate and that is the value of k. Therefore k = 2
CLASS WORK • Complete questions 8 – 12 on page 105 of the text.