(a) Write the equation in slope-intercept form, and determine the slope and -intercept.
(b) Graph the equation using the slope and -intercept.

Part:

Part 1 of 2

The slope is .

The -intercept is . D.

The equation written in slope-intercept form is .
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Ask by Reid Griffin. in the United States

Jan 23,2025

Question

(a) Write the equation in slope-intercept form, and determine the slope and -intercept.
(b) Graph the equation using the slope and -intercept.

Part:

Part 1 of 2

The slope is .

The -intercept is . D.

The equation written in slope-intercept form is .
Skip Part
Check

Ask by Reid Griffin. in the United States

Jan 23,2025

UpStudy AI · Accepted Answer

To solve the problem, we will follow the steps outlined:

### Part (a)

1. **Write the equation in slope-intercept form**:
   The slope-intercept form of a linear equation is given by:
   $$
   y = mx + b
   $$
   where $$ m $$ is the slope and $$ b $$ is the $$ y $$-intercept.

We start with the given equation:
   $$
   -5x + 2y = -10
   $$

To convert this to slope-intercept form, we need to solve for $$ y $$.

- First, isolate $$ 2y $$:
   $$
   2y = 5x - 10
   $$

- Next, divide by 2:
   $$
   y = \frac{5}{2}x - 5
   $$

Now, we have the equation in slope-intercept form:
   $$
   y = \frac{5}{2}x - 5
   $$

2. **Determine the slope and $$ y $$-intercept**:
   From the equation $$ y = \frac{5}{2}x - 5 $$:
   - The slope $$ m $$ is $$ \frac{5}{2} $$.
   - The $$ y $$-intercept $$ b $$ is $$ -5 $$.

### Summary for Part (a):
- The slope is $$ \frac{5}{2} $$.
- The $$ y $$-intercept is $$ -5 $$.
- The equation written in slope-intercept form is $$ y = \frac{5}{2}x - 5 $$.

### Part (b)

Now, we will graph the equation using the slope and $$ y $$-intercept.

1. **Plot the $$ y $$-intercept**:
   The $$ y $$-intercept is the point where the line crosses the $$ y $$-axis. This occurs at $$ (0, -5) $$.

2. **Use the slope to find another point**:
   The slope $$ \frac{5}{2} $$ means that for every 2 units you move to the right (positive $$ x $$), you move up 5 units (positive $$ y $$).
   - Starting from the $$ y $$-intercept $$ (0, -5) $$:
     - Move 2 units to the right to $$ (2, -5) $$.
     - Move up 5 units to $$ (2, 0) $$.

3. **Plot the second point**:
   The second point is $$ (2, 0) $$.

4. **Draw the line**:
   Connect the points $$ (0, -5) $$ and $$ (2, 0) $$ with a straight line, extending it in both directions.

Now, let's summarize the results:

- The slope is $$ \frac{5}{2} $$.
- The $$ y $$-intercept is $$ -5 $$.
- The equation in slope-intercept form is $$ y = \frac{5}{2}x - 5 $$.

I will now proceed to graph the equation. However, since I cannot create visual graphs directly, you can plot the points on graph paper or using graphing software.
The slope is $$ \frac{5}{2} $$ and the $$ y $$-intercept is $$ -5 $$. The equation in slope-intercept form is $$ y = \frac{5}{2}x - 5 $$.

(a) Write the equation in slope-intercept form, and determine the slope and -intercept.
(b) Graph the equation using the slope and -intercept.

Part:

Part 1 of 2

The slope is .

The -intercept is . D.

The equation written in slope-intercept form is .
Skip Part
Check

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(a) Write the equation in slope-intercept form, and determine the slope and -intercept. (b) Graph the equation using the slope and -intercept. Part: Part 1 of 2 The slope is . The -intercept is . D. The equation written in slope-intercept form is . Skip Part Check

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Latest Algebra Questions

(a) Write the equation in slope-intercept form, and determine the slope and -intercept.
(b) Graph the equation using the slope and -intercept.

Part:

Part 1 of 2

The slope is .

The -intercept is . D.

The equation written in slope-intercept form is .
Skip Part
Check