Answer:
(i) k =1
(ii) y-intercept is 7
Step-by-step explanation:
<u>Given line:</u>
<u>Divide all terms by k to get slope-intercept form of the line</u>
<u>Since the gradient (slope) of the line is 2:</u>
<u>The equation is now:</u>
<u>y - intercept is found when x = 0</u>
- x = 0 ⇒
- y = 2*0 + 7
- y = 7
Answer:
To find the equation of the line parallel to the graph, first of all find the slope of the graph by making y the subject of the formula and comparing the resulting equation with y = mx + c , knowing fully well that m stands for the slope.
So, from the equation of the graph give, y = 4x/5 +1/5, therefore the slope is 4/5. For a line to be parallel to the graph then they must have the same slope, to find the equation of the line at the given point, then we use the formula
y - y1 = m ( x - x1 )
y - 3 = 4/5 ( x - 1 )
multiply through by 5
5( y - 3 ) = 4 ( x - 1)
5y - 15 = 4x - 4
5y - 4x = - 4 + 15
so, 5y - 4x = 11 is the equation
Step-by-step explanation:
Answer: 
Step-by-step explanation:
In order to solve this exercise it is important to remember the multiplication of signs. Notice that:
In this case you have the following expression given in the exercise:
Where the variable is "j".
When you multiply signs, you get:
Now you need to identify that like terms and then you need to add them (or combine them). So, applying this procedure you get that the simplified form of the expression is the shown below:
As you can observe, you get a 2nd degree binomial.
