Given the points:
(x, y) ==> (-2, 4)
slope, m = 3
To write the slope intercept form, use the form below:
y = mx + b
Where m = slope and b = y-intercept.
Now, substitute -2 for x, 4 for y, and m for 3 in the equation above to solve for b.
We have:
y = mx + b
4 = 3(-2) + b
4 = -6 + b
Add 6 to both sides:
4 + 6 = -6 + 6 + b
10 = b
b = 10
Therefore, the slope intercept form of the equation is:
y = 3x + 10
ANSWER:
y = 3x + 10
<span><span>the exact answer is 3 over
<span>5√</span> </span>35</span>
X = approximately 633
Steps:
lnx + ln3x = 14
ln3x^2 = 14 : Use the log property of addition which is to multiply same log together so you multiply x and 3x because they have log in common
(ln3x^2) = (14) : take base of e on both sides to get rid of the log
e e
3x^2 = e^14 : e cancels out log on the left side and the right side is e^14
x^2 = e^14 / 3 : divide both sides by 3
√x^2 = <span>√(e^14 / 3) : take square root on both sides to get rid of the square 2 on x
</span>
x = √(e^14) / <span>√3 : square root cancels out square 2 leaving x by itself
x = e^7 / </span>√3 : simplify the √(e^14) so 14 (e^14) divide by 2 (square root) = 7<span>
x = </span>633.141449221 : solve
Answer: 25
Step-by-step explanation:
Plug in x to the expression.

When there is the same base of exponents is being multiplied the exponents add together and the base stays the same.
So this simplifies to,
.
This then solves to 25.
9514 1404 393
Answer:
y = 5x
Step-by-step explanation:
The point (0, 0) tells you the line goes through the origin, so represents a proportional relationship. The slope is simply the ratio of y to x, or 5/1 = 5.
The equation of the line is ...
y = mx + b . . . . . . line with slope m and y-intercept b
y = 5x . . . . . . . . . . line with slope 5 and y-intercept of 0 (the origin)