Solve the quadratic equation by completing the square. 4x2 + 8x - 7 = 0
1 answer:
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The point-slope equation of the line is
Step-by-step explanation:
The form of the point-slope equation is , where
- m is the lope of the line
is a point lies on the line
The slope of a line , where
and
are two points on the line
∵ The line through (2 , 3) and (7 , 4)
∴ = 2 and
= 7
∴ = 3 and
= 4
- Substitute these value in the rule of the slope
∵
∴ the slope of the line is
Let us substitute the value of the slope and the coordinates of point in the form of the equation
∵
∵ = 2 and
= 3
∵
∴
The point-slope equation of the line is
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Answer:
y= -⅓x +⅓
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
This form is also known as the point-slope form.
Since the slope is given to be -⅓, m= -⅓.
y= -⅓x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -5, y=2,
2= -⅓(-5) +c
Thus, the equation of the line is y= -⅓x +⅓.
Answer:
x > − 7
Step-by-step explanation:
hope this helps
