The linear equation is y = -x - 6
Step-by-step explanation:
To form a linear equation from two points lie on the line which the equation represented it
- Find the slope of the line by using the formula

- Then use the slope-intercept form of the equation y = m x + b
- To find the value of b substitute x and y of the equation by the coordinates of one of the two given points
∵ Points (-2 , -4) and (-3 , -3) lie on the line
∴
= -2 and
= -3
∴
= -4 and
= -3
- Substitute these values in the formula of the slope
∵ 
∴ m = -1
∵ The form of the equation is y = m x + b
∵ m = -1
∴ y = (-1) x + b
∴ y = -x + b
To find b substitute x and y in the equation by the coordinates of
point (-2 , -4) OR (-3 , -3)
∵ x = -3 and y = -3
∴ -3 = -(-3) + b
∴ -3 = 3 + b
- Subtract 3 from both sides
∴ -6 = b
∴ The equation is y = -x + (-6)
∴ y = -x - 6
The linear equation is y = -x - 6
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Answer:
The answer is the first choice.
Step-by-step explanation:
We can eliminate choices 2 and 4 because the y-intercept is wrong. The line passes through the y-axis at 3, so you would add 3 after the slope. Now we have choices 1 and 3. Choice 1 is y=-4/5x+3 and choice 3 is y=4/5x+3. When we do rise over run, we can use the points (0,3) and (5,-1). We get -4/5. Therefore, the answer is choice 1.
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Let
be the line that passes through both points.
We know that
and
. So:

Solving the system, we get that a= -1 and b = 6.
So the line is equal to
.
Answer: it is the 4th graph
Step-by-step explanation:
(-3,25)(0,20)(3,16)(6,12.8)