Discover a wealth of knowledge and get your questions answered at IDNLearn.com. Join our community to receive prompt, thorough responses from knowledgeable experts.
Sagot :
In order to find the equation of the line, first let's calculate its slope m using the formula below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Using the given points (x1, y1) = (-4, -4) and (x2, y2) = (3, 1), we have:
[tex]m=\frac{1-(-4)}{3-(-4)}=\frac{1+4}{3+4}=\frac{5}{7}[/tex]Now, to find the equation, let's use the slope-intercept form and calculate the value of b using a given point:
[tex]\begin{gathered} y=mx+b \\ (3,1): \\ 1=\frac{5}{7}\cdot3+b \\ 1=\frac{15}{7}+b \\ b=1-\frac{15}{7} \\ b=-\frac{8}{7} \end{gathered}[/tex]Therefore the equation is y = (5/7)x - 8/7
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.
