Algebra 1 - Glencoe
Investigation 2 Slope and Scale
Graph Equations
Graph each equation.
a. y = 5x –3
Step 1 The y-intercept is –3. so, graph (0, -3).
Step 2 The slope is 5 or [pic]. [pic]
From (0, -3), move up 5 units and right 1 unit.
Draw a dot.
Step 3 Draw a line through the points.
b. x + 2y = -6
Step 1 Solve for y to write the equation in slope-intercept form.
x + 2y = -6 Original equation
x + 2y – x = -6 – x Subtract x from each side.
2y = -6 – x Simplify.
2y = -x + - 6 -6 – x = -6 + (-x) or –x + -6
[pic] =[pic] Divide each side by 2.
[pic] = [pic] +[pic] Divide each term in the numerator by 2.
y = -[pic]x +-3 Simplify.
y = -[pic]x – 3
Step 2 The y-intercept of y = -[pic]x – 3 is –3.
So, graph (0, -3).
Step 3 The slope is -[pic] or [pic]. From (0, -3), move
down 1 unit and right 2 units. Draw a dot.
Step 4 Draw a line containing the points.
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