-1/10 - ( -2/10 )
The slope-intercept form: y = mx + b
m - a slope
b - y-intercept
We have a slope m = 1/4. Substitute: y = 1/4 x + b
We know, the line passes through point (8, 3) → x = 8, y = 3.
Put the values of x and y to the equation of the line:
1/4 · 8 + b = 3
2 + b = 3 |-2
b = 1
Answer: y-intercept is (0, 1)
The y-intercept of a line with a slope of 1/4 and which passes through point (8,3) is 1.
The equation of a line in slope in slope intercept form is expressed as:
y = mx + b
Where m is slope and b is the y-intercept.
Given the data in the question:
The line has a slope of 1/4 and passes through point (8,3).
x = 8, y = 3, m = 1/4
Plug the given values into the above formula and for the y-intercept 'b'.
y = mx + b
3 = (1/4 × 8 ) + b
Solve for b:
3 = 8/4 + b
3 = 2 + b
3 - 2 = 2 - 2 + b
1 = b
b = 1
Therefore, the y-intercept is 1.
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the father takes, the son takes 5 steps just to keep up. What is the ratio of
the number of steps the father takes to the number of steps the son takes? Add
labels to the columns of the table and place the ratio into the first row of
data. Add equivalent ratios to build a ratio table.
2. What can you say about the values of the ratios in the table?
(p.s the image attached is for question 1)
Answer:
3:5 is the ratio.
Step-by-step explanation:
The ratio of the number of steps of father to number of steps of son is 3:5.
The table forms as follows:
Steps by father Steps by son
3 5
6 10
9 15
12 20
15 25
a) The ratio of the number of steps of father to number of steps of son will be 3:5.
b) The table forms as follows:
father son
3 5
6 10
9 15
12 20
15 25
a) We can continue finding equivalent ratios by multiplying both sides of the ratio by different numbers, such as 3, 4, or any other value.
Multiply the first term by 2 to get 3 * 2 = 6. Multiply the second term by 2 to get 5 * 2 = 10.
- The equivalent ratio is 6:10.
In the ratio table, we can observe that the values of the ratios are always in the form of a fraction or as a simplified fraction.
=The ratios we have found so far, such as
3:5 and 6:10, = 3/5 and 3/5 respectively.
Thus the ratio of the number of steps of father to number of steps of son is 3:5.
b) The table forms as follows:
father son
3 5
6 10
9 15
12 20
15 25
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B.2,352in
C.2,384in
D.5,376in
Answer:
you add all of them together
Step-by-step explanation: