Line <span>–3x + 9y = 18
</span>
x-intercept when y = 0
so -3x = 18
x = -6
y-intercept when x = 0
so 9y = 18
y = 2
answer
x-intercept (-6,0)
y-intercept (0, 2)
hope it helps
Answer:
The point-slope form would be y - 4 = x - 2
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope. For that, we use the slope formula.
m (slope) = (y1 - y2)/(x1 - x2)
Now we plug the numbers into the equation.
m (slope) = (y1 - y2)/(x1 - x2)
m (slope) = (4 - -1)/(2 - -3)
m (slope) = 5/5
m (slope) = 1
Now we can use point-slope form along with the slope and either point to write the equation.
y - y1 = m(x - x1)
y - 4 = (x - 2)
Answer:
x=3
Step-by-step explanation:
Simplify 3(x-2)+5X
= 8x-6=18
Add 6 to both sides
8x=24
Divide by 8
x=3
Answer:
Yes
Step-by-step explanation:
x=10 would not however since it is a vertical line and fails the vertical line test where an x value cannot be repeated more than once.
y=10 would be a horizontal line coming from the point (0,10)
Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.
Explanation:
It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
The distance formula for two points is given below,
Slope formula,
Slope of DE,
Slope of EF,
Slope of FG,
Slope of DG,
The slope of opposite sides are equal, it means the opposite sides are parallel.
All four sides do not have the same length. It means it is not a rhombus.
From the figure it is noticed that the opposite sides are parallel.
Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.
