Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

A line, y = mx + b. passes through the point (2, 4) and is parallel to y = 3x - 5. What is the value of b?


Sagot :

Answer:

-2

Step-by-step explanation:

Well since this line is parallel to y=3x-5 they must have the same slope

We are just solving for the y-intercept

We have a point (2,4) lets plug it into

y=3x+ b

4 = 3(2) +b

4= 6 +b

-2 = b

The value of b is -2

Answer:

B-value = -2

Step-by-step explanation:

In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.

Hope this helps!

Here is the diagram:

View image Аноним