Answer:
y = -2.5 x + 6.5
Step-by-step explanation:
The equation of a line in slope-intercept form is written as
y = mx + b where m is the slope and b is the y-intercept.
a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:
m = (5 - 3 ) = 2
-4 - (-1) -3
Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):
y = mx + b
3 = -2 • -1 + b
3
3= 2 + b
3
7 = b
3
The equation of the line will be y = -2 x + 7
3 3
b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:
y = -2.5x + b
1.5 = -2.5 • 2 + b
1.5 = -5 + b
6.5 = b
The equation of the line will be:
y = -2.5 x + 6.5
Answer:
The distance from his starting point is <u>6.7 m</u>.
Step-by-step explanation:
Given:
Shane marched 3 m East and 6 m north.
Now, to get the distance from his starting point.
Let the distance from the starting point be
Now, to solve using pythagorean theorem:
<em>Using square root on both sides we get:</em>
<u>So, the distance from the starting point nearest to tenth is 6.7 m.</u>
Therefore, he is 6.7 m from his starting point.
<span>Total pocket money: N600
Spent as follows:
Books N50
Pen N80
Maths set N270
Bag N150
Food N50
To find: Angles that pen and food represent on pie chart.
Solution: Pie is made on circle, and sum of angles of a circle is 360°.
Angle that pen represent = (80/600)*360° = 48°
Angle that food represent = (50/600)*360° = 30°</span>
Answer: 646
Step-by-step explanation:
((1/2)^2)^(-3) = (1/4)^(-3) = (1/(1/4))^3 = 4^3 = 64.