Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Answer:
y = 3x - 6
Step-by-step explanation:
The slope-intercept form of a linear equation is given by:
y = mx + b
m = the slope
b = y-intercept
Using the point-slope form of the equation:
y - y₁ = m(x - x₁)
y - 6 = 3(x - 4)
y - 6 = 3x - 12
y = 3x - 6
So, the answer is y = 3x - 6.
Answer:
y = 3x - 6
Step-by-step explanation:
We're asked to write the equation of the line in slope-intercept form.
We're given that the line passes through (4,6) and has a slope of 3.
So let's write its equation. First, I'm going to use the point-slope formula.
[tex]\bf y-y_1=m(x-x_1)[/tex]
Where:
- m = slope
- [tex]\sf (x_1,y_1)[/tex] is a point
Substitute the values:
[tex]\sf y-6=3(x-4)[/tex]
[tex]\sf y-6=3x-12[/tex]
Add 6 to both sides.
[tex]\sf y=3x-12+6[/tex]
[tex]\sf y=3x-6[/tex]
Therefore, the line's equation is: y = 3x - 6.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.