Step-by-step explanation:
y = mx +b
m - the slope; b- y-intercept
therefore;
y = 3x - 4
m = 6; b = -4
y = 5x - 3
m = 5; b = -3
The coordinates of the point where the lines are crossed are the solution to the system of linear equations.
How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)
y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)
***look at the img for graph reference***
Part B: x = 1; y = 2
Answer/Step-by-step explanation below:
<u><em>Kavinsky</em></u>
The answer to the question
X^2 - 7x + 12
factors of 12 sum of the factors
1 * 12 13
2 * 6 8
3 * 4 7
-1 * -12 -13
-2 * -6 -8
-3 * -4 -7
(x - 3)(x - 4)
The second option
Solution:
There are four kinds of rigid transformations.
1. Reflection
2. Rotation
3. Translation
4. Dilation
1. The Meaning of term reflection is when we reflect something through a line or mirror the distance of object from line of reflection on both sides are same. The two images Preimage and image are congruent.
2. Rotation means rotating an object or geometrical shape through an angle. An angle can be of any measure that is 0,30°,45°,90°,...... In rotation the two , image and preimage are congruent.
3. While in translation , we shift something from a place to another place keeping the two images,that is image and preimage are congruent.
In all three,either in reflection, rotation,or translation there is no change in shape and size, the two that is image and Preimage are congruent.
