Answer:
given a number x, negative 3 times that number is -3x. If this has to be at least 57, it means that -3x must be greater than or equal to 57:
Dividing both sides by -3 solves the equation, but we have to switch the inequality sign because we're dividing by a negative number:
Answer:
y+2x=9 is the line passing through (6,-3) parallel to y=-2x-5
Step-by-step explanation:
In the question we are given with a point (6,-3) and a line . we have to find the line passing through given point and parallel to given line.\
formula used: equation of a line passing through a point(a,b) with slope m is given by .
here we have (a,b)=(6,-3) and the slope of the line is slope of
i.e, -2( coefficient of x).
therefore, substituting point and slope in formula we get
which simplifies to is asked line equation
Answer:
Step-by-step explanation:
We have to write an equation of a line which passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)
Now, equation (1) is in the slope-intercept form and the slope of the line is 3.
Let, m is the slope of the required line.
So, 3m = -1
{Since, the product of the slopes of two perpendicular straight lines is -1}
⇒
Therefore, the equation of the required line in slope intercept form is
{Where c is a constant}
Now, this above equation passes through the point (-9,2) point.
So,
⇒ 2 = 3 + c
⇒ c = - 1
Therefore, the equation of the required straight line is (Answer)
