Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Write the equation that describes each line in slope-intercept form: slope = 3, (4, 6) is on the line.

Sagot :

Marver1ck

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.

Eloquence

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.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.