Question

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 =

Answer 1

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.

Step-by-step explanation:

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

`\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{ = }(3)/(4) \end{gathered}`

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,

`y\text{ = mx + c}`

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

`y\text{ = }(3)/(4)x\text{ - 3}`

Answer:

Thus the required equation of line is

`y\text{ }=\text{ }(3)/(4)\text{x{\text{ - 3}}}`