Answer:
y = 2x - 3
Step-by-step explanation:
Since the equation for the line y = 2x + 5 is already in slope-intercept form (y = mx + b), the slope (m) is 2. A parallel line will have the same slope. Now use point-slope formula to find an equation for the parallel line including point (3,3). Point-slope formula is:
(y – y₁) = m(x – x₁), where m is the slope (2) and (x₁, y₁) is the point the line passes through (3,3).
Therefore:
(y – 3) = 2 (x – 3)
y – 3 = 2x – 6
y – 3 + 3 = 2x – 6 + 3
y = 2x - 3
Step-by-step explanation:
1.) Plug in one of the points.
y = 8x + b
6 = 8(4) + b
2.) Solve for b (or [?])
32 cancels out on the right side.
Subtract 32 from 6, which is -26
3.) -26 = b
4.) Check with other point:
-2 = 8(3) + b
-2 = 24 + b
Cancel out 24 on the right side: 24-24 = 0
-2 - 24 = -26
-26 = b
The values of a, b, and c are needed to write the equation's general form will be a = 1; b = -3; c = 0.Option A is corect.
<h3>What is the equation?</h3>
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given equation;
x²-3x=0
The quadratic equation in the form is;
ax² + bx + c = 0
On putting the values of the options one by one we will get the answer;
1 x²+(-3)x+0
x²-3x=0
Hence, option A is corect.
To learn more, about equations, refer;
brainly.com/question/10413253
#SPJ1
If 12 pairs of socks sell for $5.79, then the unit rate is 12 : 5.79. If we want to find a unit rate for one pair of socks, we need to divide 5.79 by 12:
5.79 / 12 = 0,4825
So the unit rate is 1 : 0.4825
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