Math / Algebra

QuestionGraph the line. $y=2 x-6$

Studdy Solution

STEP 1

1. The equation $y = 2x - 6$ is in slope-intercept form, $y = mx + b$ .
2. The slope $m$ of the line is 2.
3. The y-intercept $b$ of the line is -6.
4. We need to plot at least two points to graph the line accurately.

STEP 2

1. Identify the slope and y-intercept from the equation.
2. Plot the y-intercept on the graph.
3. Use the slope to find another point on the line.
4. Draw the line through the points.

STEP 3

Identify the slope and y-intercept from the equation $y = 2x - 6$ .
- The slope $m$ is 2. - The y-intercept $b$ is -6.

STEP 4

Plot the y-intercept on the graph.
- Start by plotting the point $(0, -6)$ on the y-axis.

STEP 5

Use the slope to find another point on the line.
- The slope $m = 2$ can be interpreted as "rise over run," which is $\frac{2}{1}$ . - From the y-intercept $(0, -6)$ , move up 2 units (rise) and 1 unit to the right (run) to find the next point. - This gives the point $(1, -4)$ .

STEP 6

Draw the line through the points.
- Use a ruler to draw a straight line through the points $(0, -6)$ and $(1, -4)$ . - Extend the line across the graph to represent the equation $y = 2x - 6$ .

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QuestionGraph the line. $y=2 x-6$

Studdy Solution

STEP 1

1. The equation $y = 2x - 6$ is in slope-intercept form, $y = mx + b$ .
2. The slope $m$ of the line is 2.
3. The y-intercept $b$ of the line is -6.
4. We need to plot at least two points to graph the line accurately.

STEP 2

1. Identify the slope and y-intercept from the equation.
2. Plot the y-intercept on the graph.
3. Use the slope to find another point on the line.
4. Draw the line through the points.

STEP 3

Identify the slope and y-intercept from the equation $y = 2x - 6$ .
- The slope $m$ is 2. - The y-intercept $b$ is -6.

STEP 4

Plot the y-intercept on the graph.
- Start by plotting the point $(0, -6)$ on the y-axis.

STEP 5

Use the slope to find another point on the line.
- The slope $m = 2$ can be interpreted as "rise over run," which is $\frac{2}{1}$ . - From the y-intercept $(0, -6)$ , move up 2 units (rise) and 1 unit to the right (run) to find the next point. - This gives the point $(1, -4)$ .

STEP 6

Draw the line through the points.
- Use a ruler to draw a straight line through the points $(0, -6)$ and $(1, -4)$ . - Extend the line across the graph to represent the equation $y = 2x - 6$ .

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QuestionGraph the line. y=2x−6y=2 x-6y=2x−6

Studdy Solution

STEP 1

1. The equation y=2x−6 y = 2x - 6 y=2x−6 is in slope-intercept form, y=mx+b y = mx + b y=mx+b.2. The slope m m m of the line is 2.3. The y-intercept b b b of the line is -6.4. We need to plot at least two points to graph the line accurately.

STEP 2

1. Identify the slope and y-intercept from the equation.2. Plot the y-intercept on the graph.3. Use the slope to find another point on the line.4. Draw the line through the points.

STEP 3

Identify the slope and y-intercept from the equation y=2x−6 y = 2x - 6 y=2x−6.- The slope m m m is 2. - The y-intercept b b b is -6.

STEP 4

Plot the y-intercept on the graph.- Start by plotting the point (0,−6)(0, -6)(0,−6) on the y-axis.

STEP 5

STEP 6

Draw the line through the points.- Use a ruler to draw a straight line through the points (0,−6)(0, -6)(0,−6) and (1,−4)(1, -4)(1,−4). - Extend the line across the graph to represent the equation y=2x−6 y = 2x - 6 y=2x−6.

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QuestionGraph the line. $y=2 x-6$

1. The equation $y = 2x - 6$ is in slope-intercept form, $y = mx + b$ .
2. The slope $m$ of the line is 2.
3. The y-intercept $b$ of the line is -6.
4. We need to plot at least two points to graph the line accurately.

1. Identify the slope and y-intercept from the equation.
2. Plot the y-intercept on the graph.
3. Use the slope to find another point on the line.
4. Draw the line through the points.

Identify the slope and y-intercept from the equation $y = 2x - 6$ .
- The slope $m$ is 2. - The y-intercept $b$ is -6.

Plot the y-intercept on the graph.
- Start by plotting the point $(0, -6)$ on the y-axis.

Draw the line through the points.
- Use a ruler to draw a straight line through the points $(0, -6)$ and $(1, -4)$ . - Extend the line across the graph to represent the equation $y = 2x - 6$ .