Equations of Lines. Three forms of a line y = mx + bslope-intercept y-y 1 = m(x – x 1 )point-slope Ax + By = Cstandard form.

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Presentation transcript:

Equations of Lines

Three forms of a line y = mx + bslope-intercept y-y 1 = m(x – x 1 )point-slope Ax + By = Cstandard form

Write the equation in slope-intercept m=3 y-int=-4m=5/8, (0,6)

Write the equation in point-slope m= -4/5, (1.2, -3)(3, -2) and (-5, 7)

Write the equation in standard form m=2 (-5,7)m=5/8 b=6

Write a slope-intercept equation from the graph Line a Parallel to line a through (5,6) a

Write slope-intercept equation from information m=3, (2,-3) x-int=2, y-int=-5 Contains (-4,2) and (8, -1)

Four ways to graph a line 1.Function Table 2.Slope-intercept Graph the point on y-axis Plot the slope from the intercept 3. Point-slope Plot the point from the equation Plot the slope from the point 4. Intercepts – points where the line crosses the axes x-intercept (C/A, 0) fill in 0 for y in standard form y-intercept (0, C/B) fill in 0 for x in standard form

Graph the lines y=-1/7x + 5 3x -4y = 9 y-7=-5(x+4)