Answer:
y = -3x - 16
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: y - 2 = -3(x + 6)
Slope-intercept form: y = mx + b
To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).
To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:
y = mx + b
2 = -3(-6) + b
2 = 18 + b
Subtract 18 from both sides of the equation to isolate b:
2 - 18 = 18 - 18 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = -3x - 16
Because it says "not black" we would do white marbles
There are 15 white marbles and a total of 20
So the fraction of white marbles to total would be 15/20
Because the answer is wanted as a decimal divide 15 by 20
15/20=.75
There is a .75 chance that she will not draw a black marble
Answer:
c
Step-by-step explanation:
I just had the exact same question on a worksheet
Answer:
y = 5x + 11
Step-by-step explanation:
- first rearrange -5x + y = 2 and you'll have y = 5x + 2
- the slopes of parallel lines are equal so the slope of the line is 5
so far we have y = 5x + b
- to get b, replace the values in the equation by the values of the given point
(1) = 5(-2) + b
- rearrange and calculate, b = 11
y = 5x + 11
Answer:
Step-by-step explanation:
All you do is draw a line straight across 5x and then graph 1 which is right next to 5.