Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Determine the equation of the line thatpasses through (0, 2) and (4, 5). Put inslope-intercept form.

Sagot :

Given:

Point ( 0, 2) and (4, 5)

The coordinates are:

x₁=0 y₁=2 x₂=4 y₂=5

First, we need to find the slope(m) using the formula below:

[tex]\text{slope(m)}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values and evaluate.

[tex]\text{slope(m)}=\frac{5-2}{4-0}=\frac{3}{4}[/tex]

Next, is to find the intercept(b) by substituting m=3/4 x=0 and y=2 into y=mx+b and then solve for b.

2 = 3/4 (0) + b

b=2

We can now proceed to form the equation by substituting the values of m and b into y=mx + b.

Hence, the equation of the line is:

[tex]y=\frac{3}{4}x\text{ + 2}[/tex]

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.