The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.

Recall the slope-intercept equation, $y = mx + b$ , where m = slope of the line, b = y-intercept.

To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4}$ .

Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):

$y = mx + b$

$1 = -\frac{3}{4}(6) + b$

$1 = -\frac{18}{4} + b$

$1 = -4.5 + b + 4.5$

$1 + 4.5 = -4.5 + b + 4.5$

$5.5 = b$

Therefore, b = y-intercept = 5.5.

To generate the equation of the line, plug in the values of m and b, we would have:

y = ¾x + 5.5

The y-intercept of the line of the graph is 5.5.

5 0

3 years ago

If it's 11:51 right now. what time will not be in 11 hours and 37 minutes ?

AfilCa [17]

Answer:

11:52...

Step-by-step explanation:

11:52. It could be any time except the time 11:37 from now, since its NOT going to be.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Rewrite the equation y−2=−3/2(x+6) in standard form.

navik [9.2K]

For this case we have that by definition, the standard form of the equation of the line is given by:

$ax + by = c$

We have the following equation:

$y-2 = - \frac {3} {2} (x + 6)$

We manipulate the equation algebraically:

$y-2 = - \frac {3} {2} x- \frac {3 * 6} {2}\\y-2 = - \frac {3} {2} x \frac {18} {2}\\y-2 = - \frac {3} {2} x-9\\y-2 + 9 = - \frac {3} {2} x\\y-7 = - \frac {3} {2} x\\2 (y-7) = - 3x\\2y-14 = -3x\\3x + 2y = 14$