Slope-Intercept Form
Take 1
Take 1
Write an equation of a line that has a slope of -4 and a y-intercept of 8
y = -4x + 8
Rewrite the equation so that it's in slope-intercept form: y - 5 = 2(x - 7)
y = 2x - 9
Write the equation in point-slope form for the line that goes through the point (-1, 3) with a slope of 5
y - 3 = 5(x + 1)
Are the two equations parallel, perpendicular, or neither?
y = 4x - 10
y = (-1/4)x + 2
Perpendicular
Write an equation of a line that has a y-intercept of 4 and is parallel to y=(5/4)x – 3
y = (5/4)x + 4
Rewrite the equation so that it's in slope-intercept form: y + 3 = (3/2)(x - 8)
y = (3/2)x - 15
Write the equation in point-slope form for the line that goes through the point (5, -8) with a slope of (1/4)
y + 8 = (1/4)(x - 5)
Are the two equations parallel, perpendicular, or neither?
y = (1/2)x + 4
y = 2x – 1
Neither
Write an equation of a line that has a y-intercept of 10 and is perpendicular to y = 3x + 7
y = (-1/3)x + 10
Write an equation in slope-intercept form for a line that goes through (4, -9) with a slope of -2
y = -2x - 1
Write an equation in point-slope form of a line that goes through (7, 3) and (9, 8)
y - 3 = (5/2)(x - 7) or y - 8 = (5/2)(x - 9)
Are the two equations parallel, perpendicular, or neither?
y = (3/2)x - 8
3x - 2y = 20
Parallel
Rewrite the equation so that it's in slope-intercept form: 5x + 6y = 24
y = (-5/6)x + 4
Write an equation in slope-intercept form for a line that goes through (6, 10) with a slope of (1/3)
y = (1/3)x + 8
Write an equation in point-slope form of a line that goes through (-3, 6) and (1, 12)
y - 6 = (3/2)(x + 3) or y - 12 = (3/2)(x - 1)
Write an equation in slope-intercept form for the line that goes through the point (9, -1) and is parallel to the line whose equation is y = 4x + 8.
y = 4x - 37
Rewrite the equation so that it's in slope-intercept form:
4x - 3y = -18
y = (4/3)x + 6
Write an equation in slope-intercept form for a line that goes through the points (-2, 7) and (0, 15)
y = 4x + 15
Write an equation in point-slope form for the line that goes through the points (-5, 8) and (1, 2)
y - 8 = -(x + 5) or y - 2 = -(x - 1)
Write an equation in slope-intercept form for the line that goes through the point (-8, 3) and is perpendicular to the line whose equation is y = -2x + 5
y = (1/2)x + 7