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3 years ago

Write an equation of a line parallel to y = 2x-4 passing through the point (-1,3)

Mathematics

1 answer:

polet [3.4K]3 years ago

8 0

Answer:

Parallel lines have the same slope, so you know the equation will be y = 2x + b. Use the point (1,5) to sub in for (x,y) to solve for b. So, the equation will be y = 2x + 3.

Step-by-step explanation:

hope this help you

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Plz help

Yuliya22 [10]

Answer:

Solution: x = 2, y = -1 or (2, -1)

Step-by-step explanation:

Equation 1: 2x + y = 3

Equation 2: 5x - 2y = 12

Using the substitution method:

Transform the Equation 1 into its slope-intercept form:

2x + y = 3

2x - 2x + y = -2x + 3

y = 2x + 3

Substitute the value of y = -2x + 3 into Equation 2:

5x - 2y = 12

5x - 2(-2x + 3) = 12

5x + 4x - 6 = 12

9x - 6 = 12

9x - 6 + 6 = 12 + 6

9x = 18

9x/9 = 18/9

x = 2

Substitute the value of x = 2 into Equation 2 to solve for y:

5x - 2y = 12

5(2) - 2y = 12

10 - 2y = 12

10 - 10 - 2y = 12 - 10

-2y = 2

-2y/-2 = 2/-2

y = -1

Double-check whether the values for x and y will provide a true statement for both equations:

Equation 1: 2x + y = 3

2(2) + (-1) = 3

4 - 1 = 3

3 = 3 (True statement)

Equation 2: 5x - 2y = 12

5(2) - 2(-1) = 12

10 + 2 = 12

12 = 12 (True statement)

Therefore, the correct answers are: x = 2; y = -1 or (2, -1).

4 0

3 years ago

PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE

rewona [7]

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

$y=$ $\frac{5}{7} x + 5$ is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

$30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y$

so the equation would be $y=$ $\frac{5}{7} x + 5$

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

$y=\frac{-7}{5} x+79$ is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).