4/7 + 1 1/3
get a common denominator,21
4/7 * 3/3 + 1 1/3*7/7
12/21 + 1 7/21
1 19/21
Answer:
C. y=1/2x+2
Step-by-step explanation:
1. Find the slope using the slope formula.
Slope formula: y2-y1/x2-x1
Let the y-value in the second ordered pair (4,4) be y2, and the 3 in the first ordered pair (2,3) be y1. 4 and 2 from these ordered pairs will be x2 and x1.
Plug these values into the equation and simplify.
4-3/4-2
=1/2
Slope is 1/2
2. Choose one of the ordered pairs and plug those numbers and the slope into the point-slope formula.
Point slope formula: y-y1=m(x-x1). M represents the slope, and the x1 and y1 represent the values of the ordered pair.
Let's use the pair (4,4).
y-4=1/2(x-4)
3. Simplify the equation to convert to y=mx+b format.
Multiply the inside of the parentheses by 1/2.
y-4=1/2x-2
Add 4 to both sides.
y=1/2x+2
3. C is your answer, for it matches what you found in the calculations.
Answer:
both lines have the same slope, hence they are parallel to each other
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Two lines are said to be parallel to each other if they have the same slope, whereas two lines are perpendicular to each other if the product of their slopes is -1.
Given a line with an equation:
y = (2/3)x - 17
From the equation of the line with can see that the slope of the line is 2/3 and the y intercept is -17.
Also the other line has an equation of 4x - 6y = -6
6y = 4x + 6
y = (2/3)x + 1
Hence this line has a slope of 2/3 and a slope of 1.
Since both lines have the same slope, hence they are parallel to each other
F(x) = 1/4x-1
i hope this helps!
Answer:
false
Step-by-step explanation:
let the point (x,y) be (4/3,0)
3*(4/3)-0>4
4>4 false
