Graph using Slope-Intercept Form A linear equation in the form y=mx+b is written in slope-intercept form where m is the slope and b is the y-intercept.

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Presentation transcript:

Graph using Slope-Intercept Form A linear equation in the form y=mx+b is written in slope-intercept form where m is the slope and b is the y-intercept of the equation’s graph. Ex. y = mx + b slope y-intercept y = x

SOLUTION EXAMPLE 1 Identify slope and y-intercept Identify the slope and y-intercept of the line with the given equation. y = 3x x + y = 22. The equation is in the form y = m x + b. So, the slope of the line is 3, and the y-intercept is 4. a. b.Rewrite the equation in slope-intercept form by solving for y.

EXAMPLE 1 Identify slope and y-intercept 3x + y -3x = 2 -3x Write original equation. Subtract 3x from each side y= – 3x + 2 Put your variable term first, remember to keep the sign with the coefficient. ANSWER The line has a slope of – 3 and a y-intercept of 2.

SOLUTION EXAMPLE 1 Identify slope and y-intercept Identify the slope and y-intercept of the line with the given equation. The equation is in the form y = mx + b.So, the slope of the line is 5, and the y-intercept is –3. y = 5x – x – 3y = GUIDED PRACTICE for Example 1

EXAMPLE 1 Identify slope and y-intercept ANSWER The line has a slope of : 1 and a y-intercept of –4. GUIDED PRACTICE for Example 1 SOLUTION Rewrite the equation in slope-intercept form by solving for y. 2. 3x – 3y = 12 Write original equation. Divide 3 by equation. 3x – 12 3 = 3y 3 Rewrite original equation. y 3x - 12 = 3 y x – 4 = Simplify.

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y-intercept of the line with the given equation. x + 4y = 63. GUIDED PRACTICE for Example 1

EXAMPLE 1 Identify slope and y-intercept GUIDED PRACTICE for Example 1 ANSWER The line has a slope of and a y-intercept of – 2 1 SOLUTION Rewrite the equation in slope-intercept form by solving for y. x + 4y -x = 6 -x Write original equation. Divide equation by 4. 4y4y= – x + 6 Rewrite original equation. Subtract x from each side. Simplify. – x y= – x + 6 = 4 y4y4