Question

8.

A line goes through (-8, -11) and (4, -2).
Use an integer or fraction. Fractions need to be always reduced!
a. What is the slope?
9/22
12
b. What is the y intercept?
c. Write the equation of the line in slope-intercept form. Start with y =.

Answer 1

The slope of the line is 9/22, the y-intercept is 12, and the equation of the line in slope-intercept form is y = (9/22)x + 12.

Step-by-step explanation:

To find the slope of the line going through (-8, -11) and (4, -2), we use the formula: slope = (y2 - y1)/(x2 - x1). Plugging in the coordinates, we get: slope = (-2 - (-11))/(4 - (-8)) = 9/22.

The y-intercept is the value of y when x = 0. To find it, we substitute one of the given points into the slope-intercept form equation: y = mx + b. Using (-8, -11), we have: -11 = (9/22)(-8) + b. Solving for b, we get b = 12.

Therefore, the equation of the line in slope-intercept form is: y = (9/22)x + 12.

Learn more about slope, y-intercept, slope-intercept form