Answer:
Problem 2) : the gradient is "-2", and the y-intercept is "3"
Problem 3)
A is 
B is 
Step-by-step explanation:
Problem 2)
In the line given by the equation: 
the "gradient" (also known as "slope") is the numerical coefficient that multiplies the variable "x". So in this case the gradient is "-2"
the y-intercept is the numerical term "+3" because that is the y-value result of evaluating the expression for x = 0
Problem 3)
Consider the two lines :
and
notice that both have the same y-intercept (that is the numerical term "2" at the end of both expressions. That means that both lines cross the y-axis at the point y=2.
Now notice that the gradient of one of them is "1" (for ) that is the coefficient that multiplies the variable "x". While for the other line ( ) the gradient is "2" and therefore steeper than the previous one.
Then, the line identified as "A" which is the one with steeper gradient, corresponds to the equation , and the line identified with "B" is the one with smaller gradient .
Answer:
y = 66x + 340
Step-by-step explanation:
The question asks to give the slope-intercept equation of a line with the slope given and it passes through a given line.
Generally, the equation of a line is given by:
y = mx + c, where m is the slope and c is the intercept. We have the slope given but we do not have the intercept. Hence, the first thing we do is to find the value of the intercept. We calculate that as follows:
since the line passes through a point, we substitute the values of the ordinate and the abscissa in the general equation of the line.
This means; 10 = 66(-5) + C
C = 10 + 330 = 340
Hence, the general equation of the line is;
y = 66x + 340
Answer:
11/12 is greater than 1/2.
Step-by-step explanation:
We can make them have a common denominator of 12 to compare:
11/12 = 11/12
1/2 = 6/12.
So from this, we can see that 11/12 > 6/12.
(7x+2)(20-3x/4) = 140x + 40 - 21x²/4 - 3x/2 = -21/4 x² + 138 1/2 x + 40
this is one of those multiplications that doesn't make the result look any simpler...
Lines b and c
they both go up 2 and over 1 (rise over run is slope)
