Question

ANSWER ASAP!! Write an equation that represents the line. Please make sure your answer is the exact numbers!

Answer 1

y=7/5x+7

Explanation:

Use the saying "rise over run" to find the slope. If we go from the bottom most dot, we have to rise 7 and run 5 to reach the next dot, making the slope 7/5.

Next, we have to find the y-intercept. Do this by locating where the line crosses the y-axis, in this case it is at 7.

Finally, plug these numbers into slope-intercept format: y=mx+b (m is slope, and b is y-intercept).

Answer 2

1. Slope :
`\[ m = 1.4 \]`

2. The equation:
`\[ y = 1.4x + 7 \]`

To write the equation of the line that passes through the points
`\((-5,0)\)`and
`\((0,7)\),` we will follow these steps:

1. Calculate the slope (m) of the line using the formula:

`\[ m = (y_2 - y_1)/(x_2 - x_1) \]`

where
`\((x_1, y_1)\)` and
`\((x_2, y_2)\)` are the coordinates of the two points.

2. Substitute the coordinates of the points into the formula to find the slope.

3. Use the slope and one of the points to write the equation of the line in point-slope form:

`\[ y - y_1 = m(x - x_1) \]`

Then solve for y to get the slope-intercept form:

`\[ y = mx + b \]`

where
`\(b\)` is the y-intercept.

4. Since we have the point
`\((0,7)\)` , which is where the line crosses the y-axis, the y-intercept
`\(b\)` is 7.

Let's carry out these calculations.

The slope (m) of the line is 1.4, and the y-intercept (b) is 7. Therefore, the equation of the line in slope-intercept form is:

`\[ y = 1.4x + 7 \]`

Here are the step-by-step calculations:

1. Slope calculation:

`\[ m = (7 - 0)/(0 - (-5)) = (7)/(5) = 1.4 \]`

2. Using the slope and the y-intercept, the equation becomes:

`\[ y = 1.4x + 7 \]`