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Slope Intercept Form

This guide delves into the slope-intercept form of linear equations, defined as y = mx + b, where m represents the slope and b signifies the y-intercept. To find the y-intercept, set x to zero and solve for y. For example, in the equation y = 3x - 6, the y-intercept is (0, -6). The slope can be determined by identifying two points on the line and calculating the rise over run. Practice writing equations by using different slopes and y-intercepts to strengthen your understanding.

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Slope Intercept Form

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  1. Slope Intercept Form

  2. Y intercept • To find the y-intercept, plug 0 in for x in the linear equation and solve for y. • y=3x-6 (0, -6)

  3. Y intercept • The y-intercept is the point where a line crosses the y axis. • At this point the value of x is 0.

  4. Slope • y=3x-6 • To find the slope first find 2 points. • (2, 0) and (0, -6) • Then substitute in and solve

  5. Slope Intercept Form • y=mx + b • m is the slope • b is the y-intercept

  6. Slope Intercept Form y=3x-6 The slope is The y intercept is

  7. Slope Intercept Form To graph y=3x-6 • Plot (0, -6) • then count slope • Up 3 right 1 • Connect your points to make a line.

  8. Writing an Equation Write the equation of the line with slope 3/8 and y-intercept 5. Use slope intercept form: y=mx+b Substitute in for m and b

  9. You Try Write the equation of a line with slope -.5 and y-intercept -3 Write the equation of a line with slope 4 and y-intercept -5/2.

  10. You Try Identify the slope and y intercept. y = -5x + 13 Slope: Y-Intercept: Identify the slope and y intercept. y = 1/4x – 2 Slope: Y-Intercept:

  11. Writing an Equation Write the equation of the line with slope 2 That passes through pt. (1, 4). • Use slope intercept form: y = mx + b • Substitute in for m • Substitute in your points values for x and y • Solve for b • Use slope intercept form and substitute in b and m

  12. You Try Write the equation of a line with slope -3 that passes through pt. (2, 5)

  13. Writing an Equation Given 2 Points • Write y=mx+b • Calculate the slope using: • Substitute for m • Substitute one of the given points for x and y • Solve for b • Rewrite the equation using the calculated values for m and b

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