Standard form is another way of saying slope-intercept form. The equation you have there is in point-slope form, so we must convert this to slope-intercept form to get our final answer.
In point-slope form (y - k = m(x - h)) k is the y-value, h is the x-value, and m is the slope. All we must do is change your equation's form into standard form, or slope-intercept form which looks like this: (y = mx + b), where m is the slope and b is the y-intercept.
Convert this equation y + 1 = 2/3(x + 4) into standard/slope-intercept form.
y + 1 = 2/3(x + 4)
y + 1 = 2/3x + 2.666 Here we multiplied 2/3 by x and 4 since x + 4 is in parenthesis next to 2/3.
y + 1 - 1 = 2/3x + 2 2/3 - 1 Now we want to get y by itself so the form will look like y = mx + b, so we subtract the 1 from both sides of the equation. (2 2/3 is a mixed fraction that is equal to 2/3*4.)
y = 2/3x + 1 2/3
This is our final answer since it is in the standard, or slope-intercept form. Hope this made sense! If you have any questions please ask.
Answer:
Value of stamp collection = (45b + 43) cents
Step-by-step explanation:
What we have here is as follows;
if there are x 3-cent stamps, then there are 4x 10-cent stamps
So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps
Number of 2 cents stamps = b
This means that x-1 = b
Thus, x = b + 1
So the value of the stamp collection is as follows;
x 3 cents stamps = 3(b+ 1) = 3b + 3 cents
4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40
value of the 2 cents stamp = 2b cents
Total value is thus;
2b + 40b + 40 + 3b + 3 = (45b + 43) cents
Answer:
Equation: y = 2x — 3
Slope: 2
Y-intercept: —3
Step-by-step explanation:
m=∆y/∆x
= —3—(—1)/0—1
= —2/—1
= 2
We Know: y - y0 = m (x—x0)
y — (—3) = 2 (x — 0)
y + 3 = 2x
y = 2x — 3
So
Equation: <em>y </em><em>=</em><em> </em><em>2</em><em>x</em><em> </em><em>—</em><em> </em><em>3</em>
Slope: <em>2</em>
Y-intercept: —3
Answer:
Therefore the y-intercept of f(x) is equal to the y-intercept of g(x) ....
Step-by-step explanation:
For the given function f(x) = −3(1.02)^x
The y-intercept can be determined when x = 0
f(0)= -3(1.02)^0
f(0)= -3(1)
f(x)= -3
f(x) has a y-intercept at (0,-3)
g(x) has a y intercept at (0, -3)
Therefore the y-intercept of f(x) is equal to the y-intercept of g(x) ....
