Help me please i need help
1 answer:
Answer:
A. y = 2x -9
B. y = -1/2x +1
Step-by-step explanation:
The given line is in slope-intercept form
y = mx + b
where m is the slope. For your given line, the slope is 2.
A. A parallel line will have the same slope. It is convenient to start with a point-slope form of the equation for the line:
y = m(x -h) +k . . . . . for slope m through point (h, k)
You want the equation of the line through (4, -1) with slope 2, so its equation is ...
y = 2(x -4) -1
Simplifying to slope-intercept form, this becomes ...
y = 2x -8 -1
y = 2x -9
___
B. A perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line. That slope is ...
m = -1/2
As above, the point-slope form of the perpendicular line is ...
y = -1/2(x -4) -1
y = -1/2x +1 . . . . . after simplification
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Answer:
Step-by-step explanation:
Given:
The table is given as:
x 0 4 7 8
y 0 24 42 48
The relationship between 'x' and 'y' is a proportional relationship.
A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and
A proportional relationship is given as:
Now, we plug in 'x' and 'y' values and find the value of 'k'.
Let
Therefore, the constant of proportionality is 6. Hence the complete equation is given as: