Question

solve for the y-intercept. Show your work! Then list the slope-intercept form of the line (-15,-17) (14,10)

Answer 1

slope for y intercept={10--17)/(14--15)=27/29

Answer 2

• The line is y = 27/29x - 88/29
• The y-intercept is (0, -88/29)

Explanation:

Given point:

• (-15,-17), (14,10)

Slope-intercept form:

• y = mx + b

Use slope formula:

• m = (y₂ - y₁)/(x₂ - x₁)
• m = (10 - (-17))/(14 - (-15)) = 27/29

Use one of the points to find the y-intercept:

• y = 27/29x + b
• 10 = 27/29*14 + b
• b = (29*10 - 27*14)/29
• b = -88 /29

The line is:

• y = 27/29x - 88/29