5Change into slope-intercept form and identify the slope and y-intercept.
6Write an equation for the line that passes through (-2, 5) and (1, 7): Find the slope:Use point-slope form:
7x-intercepts and y-intercepts The intercept is the point(s) where the graph crosses the axis.To find an intercept, set the other variable equal to zero.
8Horizontal Lines Slope is zero. Equation form is y = #. Write an equation of a line and graph it with zero slope and y-intercept of -2.y = -2Write an equation of a line and graph it that passes through (2, 4) and (-3, 4).y = 4
9Vertical Lines Slope is undefined. Equation form is x = #. Write an equation of a line and graph it with undefined slope and passes through (1, 0).x = 1Write an equation of a line that passes through (3, 5) and (3, -2).x = 3
10Graphing Lines graph a line. Using x and y intercepts: *You need at least 2 points tograph a line.Using x and y intercepts:Find the x and y interceptsPlot the pointsDraw your line
11Graph using x and y intercepts 2x – 3y = -12x-intercept2x = -12x = -6(-6, 0)y-intercept-3y = -12y = 4(0, 4)
12Graph using x and y intercepts 6x + 9y = 18x-intercept6x = 18x = 3(3, 0)y-intercept9y = 18y = 2(0, 2)
13Graphing Lines Using slope-intercept form y = mx + b: Change the equation to y = mx + b.Plot the y-intercept.Use the numerator of the slope to count thecorresponding number of spaces up/down.Use the denominator of the slope to count the corresponding number of spaces left/right.Draw your line.
14Graph using slope-intercept form y = -4x + 1: y-intercept(0, 1)Slopem = -4 = -41
15Graph using slope-intercept form 3x - 4y = 8y = 3x - 24y-intercept(0, -2)Slopem = 34
16Parallel Lines **Parallel lines have the same slopes. Find the slope of the original line.Use that slope to graph your new line and to write the equation of your new line.
17Graph a line parallel to the given line and through point (0, -1): Slope = 35
18Write the equation of a line parallel to 2x – 4y = 8 and containing (-1, 4):– 4y = - 2x + 8y = 1x - 22Slope = 1y - 4 = 1(x + 1)2
19Perpendicular Lines **Perpendicular lines have the opposite reciprocal slopes.Find the slope of the original line.Change the sign and invert thenumerator and denominatorof the slope.Use that slope to graph your newline and to write the equationof your new line.
20Graph a line perpendicular to the given line and through point (1, 0): Slope =-34PerpendicularSlope= 43
21Write the equation of a line perpendicular to y = -2x + 3 and containing (3, 7):Original Slope= -2PerpendicularSlope = 12y - 7 = 1(x - 3)2
22Write the equation of a line perpendicular to 3x – 4y = 8 and containing (-1, 4):-4y = -3x + 8y - 4 = -4(x + 1)3Slope= 34PerpendicularSlope = -43