What is the equation, in slope-intercept form, of the line that passes through (0, 6) and has a slope of 4 (5 points)
2 answers:
Answer:
Step-by-step explanation:
<u>Equation of a line</u>
The equation of a line can be written in the form:
Where m is the slope of the line and b is the y-intercept. We are given the value of m=4, thus the equation becomes:
To find the value of b, we use the point (0,6):
Solving:
Thus, the equation in slope-intercept form of the required line is
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2x + y = -6
y = ⁻¹/₃x - 1
2x + (⁻¹/₃x - 1) = -6
2x - ¹/₃x - 1 = -6
1²/₃x - 1 = -6
+ 1 + 1
1²/₃x = -5
1²/₃ 1²/₃
x = -3
y = ⁻¹/₃x - 1
y = ⁻¹/₃(-3) - 1
y = 1 - 1
y = 0
(x, y)= (-3, 0)
y = ⁻¹/₃x - 1
2x + (⁻¹/₃x - 1) = -6
2x - ¹/₃x - 1 = -6
1²/₃x - 1 = -6
+ 1 + 1
1²/₃x = -5
1²/₃ 1²/₃
x = -3
y = ⁻¹/₃x - 1
y = ⁻¹/₃(-3) - 1
y = 1 - 1
y = 0
(x, y)= (-3, 0)
Answer:
27
Step-by-step explanation:
Let the number to find out be 'x'
Therefore,
according to the condition given question, we get the equation as
Now,
squaring both the sides, we get
2x - 5 = 49
on adding 5 both sides, we get
2x - 5 + 5 = 49 + 5
or
2x = 54
or
x =
or
x = 27
Hence, the number is 27