Slope-Intercept Form
Identify the slope of the following equation. y = mx + b
the variable m
Identify the slope of the equation in point-slope form:
y - 4 = -3(x - 5)
m = -3
y = 6x + 2
slope-intercept
To graph the following equation in slope-intercept form, what would be our starting point?
y = 2x + 4
y-intercept: (0, 4)
Identify the slope of the following equation:
y = mx + b
m
Identify the slope of the following equation. y = 2x + 3
slope is 2
Identify the point of the following equation in point-slope form:
y - 1 = 4(x - 5)
(5, 1)
y - 3 = -(x + 4)
point-slope
To graph the following equation in point-slope form, what would be our starting point?
y - 3 = -2(x - 5)
Starting point: (5, 3)
Identify the slope of the following equation:
y - 4 = -3(x + 6)
-3
Identify the y-intercept of the equation in (x, y) form:
y = -4x + 5
Identify the point on the following equation in point-slope form:
y + 7 = -(x + 6)
(-6, -7)
9x + y = 10
standard
Which two special points do we use to graph an equation in standard form?
(Hint: standard form does not give a slope or a point ax + by = c. What do we find?)
x-intercept and y-intercept
Find the slope between the two points (1, 4) and (2, 9)
(Hint: m = change in y/change in x. Subtract the y-values and divide by the subtraction of the x values)
5
Write an equation in slope-intercept form with a slope of 7 and a y-intercept of (0, -2)
y = 7x -2
Write an equation in point-slope form with a slope of 5 and the point (-1, 5)
y - 5 = 5(x + 1)
3x + 6y = -18
standard
2x + 4y = 2
(1, 0)
Find the slope between the two points (-1, 3) and (3, 15)
3
Write an equation in slope-intercept form with a slope of -1 and a y-intercept of (0, 8)
y = -x + 8
Write an equation in point-slope form with a slope of -2 and the point (3, -8)
y + 8 = -2(x - 3)
y + 4 = 4(x - 7)
point-slope
Identify the y-intercept we would use to graph the following equation in standard form:
2x - 4y = 8
(0, -2)
Find the slope between the two points (-5, -1) and (5, -11)
-1