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Need help please asap asap!!

Need help please asap asap!!-example-1
User Young
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1 Answer

21 votes
21 votes

Explanation:

(i)

that is really simple. for each point go vertically and horizontally to the x and y axis and see at what numbers you hit the axis.

A is -2 on x and +3 on y. so, it's coordinates are (-2, 3).

B is (4, 6).

(ii)

the gradient is also called the slope. it describes the "tilt" of the line.

the gradient or slope is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

from (-2, 3) to (4, 6) :

x changes by +6 units (from -2 to 4).

y changes by +3 units (from 3 to 6).

so, the gradient/slope = 3/6 = 1/2

(iii)

the general line equation is

y = ax + b

a is the gradient/slope and is always the factor of x.

b is the y-intercept (the y value when x = 0, meaning the point the line crosses the y-axis).

we have already the gradient or slope.

we get b either by reading that point from the chart (it looks like (0, 4)) or by using the coordinates of one of the known points as x and y values in the equation and solve for b. I just picked (4, 6) :

6 = (1/2)×4 + b = 2 + b

b = 4

hey, we were right before !

so, the full line equation is

y = (1/2)x + 4 or simple x/2 + 4

User Jklee
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