Chapter 3: Q 159. (page 291)

Find the equation of a line with a given slope andy-intercept and Write the equation in slope-intercept form.
slope $\frac{1}{5}$ and y-intercept $(0, - 5)$ .

Short Answer

Expert verified

Equation of the line in slope Intercept form is $y = \frac{1}{5} x - 5$ .

Step by step solution

Step 1. Given information.

Slope $\frac{1}{5}$ and y-intercept $(0, - 5)$ .

Slope intercept form is $y = m x + c$ where m is the slope and c the y-intercept.

Step 2. Identify the slope and point.

Slope is $\frac{1}{5}$ and point $(x_{1}, y_{1}) = (0, - 5)$ .

Step 3. Substitute the values in the point-slope form.

Point-slope form is $y - y_{1} = m (x - x_{1})$ .

Now, substitute the values.

localid="1644383612752" $\begin{array}{rcl} y - (- 5) & = & \frac{1}{5} (x - 0) \\ y + 5 & = & \frac{1}{5} x \end{array}$

Step 4. Write the equation in slope-intercept form.

Equation of the line with slope $\frac{1}{5}$ and y-intercept $(0, - 5)$ is $y = \frac{1}{5} x - 5$ .

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Find the equation of a line with a given slope andy-intercept and Write the equation in slope-intercept form.
slope $\frac{1}{5}$ and y-intercept $(0, - 5)$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Identify the slope and point.

Step 3. Substitute the values in the point-slope form.

Step 4. Write the equation in slope-intercept form.

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Find the equation of a line with a given slope andy-intercept and Write the equation in slope-intercept form.slope 15and y-intercept 0,-5.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Identify the slope and point.

Step 3. Substitute the values in the point-slope form.

Step 4. Write the equation in slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Mechanics Maths

Logic and Functions

Decision Maths

Calculus

Study anywhere. Anytime. Across all devices.

Find the equation of a line with a given slope andy-intercept and Write the equation in slope-intercept form.
slope $\frac{1}{5}$ and y-intercept $(0, - 5)$ .