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Writing Linear Equations Using Slope Intercept Form
Slope-Intercept Form y = mx + b (c) [or f(x) = mx + b] m is the slope/gradient b/c is the y-intercept
Find the Equation of the LineWhat is the y-intercept? b = -2 What is m? m = y = x -2 x y
Find the Equation of the Lineb = ? b = 1 m = ? m = - y = - x + 1 x y
Find the Equation of the Lineb = ? b = 4 m = ? m = 0 y = 0x+4 y=4 x y
Find the Slope and y-intercept of each Equation:1) y = -4x + 3 m = -4 b = 3 2) y = x m = - b = 5 3) 8x + y = m = -8 b = 4) 4x - 2y = 10 m = 2 b = -5
Find the Equation Given the Slope and y-intercept1) m = -3, b = 1 y = -3x + 1 2) m = - , b = -4 y = - x - 4
Find the Equation Given the Slope and a PointGiven m = -1, (2, 1) First, calculate b by substituting the slope and the coordinates into y = mx + b. y = -1x + b 1 = -1(2) + b 1 = -2 + b 3 = b y = -1x + 3
Write the equation. gradient = 2, passes through (-4, 6)slope = -3/2, passes through (5, 3)
Find the Equation Given Two PointsGiven (-1, 3) and (2, 1) First, calculate the slope: Second, find b. Use either point... m = , (2, 1) 1 = (2) + b 1 = b = b
Write the equation passes through (6, 1) and (8, -4)
Objective - To graph linear equations using the slope and y-intercept.
WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.
Parallel & Perpendicular Slopes II
2-3C Finding an Equation of a Line 2-3C Finding an Equation of a Line Objectives: To write an equation of a line using the slope-intercept equation.
Writing an Equation of a Line
Writing Equations of a Line
Parallel Lines. We have seen that parallel lines have the same slope.
EQUATIONS OF STRAIGHT LINES AIM: UNDERSTAND THE GRADIENT AND INTERCEPT OF A STRAIGHT LINE AND EQUATIONS OF THE FORM y=mx + c.
First let’s review 5.1 y = mx + b
2.4 Writing the Equation of a Line
The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.
2-3 Slope Slope indicates the steepness of a line.
Warm up Graph the equation of the line using slope & y-intercept
U1B L2 Reviewing Linear Functions
Using Slopes and Intercepts
Graph a linear equation Graph: 2x – 3y = -12 Solve for y so the equation looks like y = mx + b - 3y = -2x – 12 Subtract 2x to both sides. y = x + 4 Divide.
2.2 Linear Equations.
The equation of a line - Equation of a line - Slope - Y intercept
2.4 Write Equations of Lines
Write an equation given the slope and a point
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