Step-by-step explanation:
the easiest way (at least for me) is to stay with the point-slope form and then transform it to get the slope-intercept form.
the general slope-intercept form is
y = ax + b
a being the slope, and b the y-intercept (the y-value when x = 0).
the general point-slope form is
y - y1 = a(x - x1)
a is again the slope, and (x1, y1) is a point on the line.
so,
1.
y - 1 = 2(x - 4)
y = 2(x - 4) + 1 = 2x - 8 + 1 = 2x - 7
y = 2x - 7
2.
y - 4 = 1/2 × (x - 2)
y = 1/2 × (x - 2) + 4 = x/2 - 1 + 4 = x/2 + 3
y = 1/2 × x + 3 or x/2 + 3
3.
y - 0 = 2/3 × (x - -6)
y = 2/3 × x + 4 or 2x/3 + 4
4.
y - -1 = -3/4 × (x - -8)
y + 1 = -3/4 × x - 6
y = -3/4 × x - 7 or -3x/4 - 7
5.
y - -3 = -1×(x - 4)
y + 3 = -x + 4
y = -x + 1
6.
y - -9 = 4(x - 0)
y + 9 = 4x
y = 4x - 9
Answer:
1/6
Step-by-step explanation:
The coin toss and the cube roll are entirely separate and independent events. To find the joint probability P(tails and 3) we need only find the probabilities of the two events and then multiply them together.
P(tails) = 0.5
P(3) = 1/6, or 0.3333 ....
Desired joint probability = (1/2)(1/3) = 1/6
Answer:
y2-y1/x2-x1
Step-by-step explanation:
For this one it’s 3/4. (Positive since it’s going up and you can’t simplify it anymore).