Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

For the following line, name the slope and y-intercept. Then write the equation of the line in slope-interceptform.Slope= y - intercept = (0,_ ) Equation: y =

For The Following Line Name The Slope And Yintercept Then Write The Equation Of The Line In SlopeinterceptformSlope Y Intercept 0 Equation Y class=

Sagot :

Given:

A line that passes the through the points (4, 0) and (0,-3).

Required:

Slope, y-intercept, and the equation of the given line.

Explanation:

As the line passes through the points (4, 0) and (0,-3), the slope is calculated as,

[tex]\begin{gathered} Slope\text{ = }\frac{y_2-y_1}{x_2-\text{ x}_1} \\ Slope\text{ = }\frac{-3\text{ - 0}}{0\text{ - 4}} \\ Slope\text{ = }\frac{-3\text{ }}{-4} \\ Slope\text{ = }\frac{3}{4} \end{gathered}[/tex]

The y-intercept of the given line is the point through which the given line passes on the y-axis which is -3. Therefore the intercept of the given line is -3.

The equation of line in slope point form is given as,

[tex]y\text{ = mx + c}[/tex]

Where m is the slope and c is the y-intercept. Therefore the equation of the line is given as,

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

Answer:

Thus the required equation of line is

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

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.