SOLUTION: If one point on a line is (6,-5) and the line's slope is -9, find the y-intercept.

Algebra.Com
Question 1112166: If one point on a line is (6,-5) and the line's slope is -9, find the y-intercept.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

The given point is (6,-5) which means x = 6 and y = -5 pair up together.
The slope is -9, so m = -9

Plug those three values (m = -9, x = 6, y = -5) into the slope intercept formula then solve for b. Recall that b of y = mx+b is the y intercept



Replace m with -9

Plug in (x,y) = (6,-5). In other words, replace x with 6 and replace y with -5

Multiply

Add 54 to both sides

Simplify

Flip the equation

----------------------------------------------------
Answer: The y intercept is 49 which is represented by the ordered pair (0,49)

This is where the graph crosses the y axis.

RELATED QUESTIONS

For the following problem, the slope and one point on a line is given. Use the... (answered by Alan3354)
Given the slope of a line is -4/5 and a point on the line is (9,-7), find the y-intercept (answered by KMST)
For the following problem, the slope and one point on a line is given. Use the... (answered by ewatrrr)
1.Determine which,if any,of the given ordered pairs is a solution of 5x+2y=13. a)... (answered by josgarithmetic)
Given that the y -intercept of a line is (0,-5) and the slope is 1/3, find the equation... (answered by richwmiller)
Find the equation of the line using the point-slope formula. Write the final equation... (answered by josgarithmetic,MathTherapy)
Find the slope and the y-intercept of each line whose equation is given. y=-9/10x-5 (answered by Maths68)
For the following problem, the slope and one point on a line is given. Use the... (answered by ewatrrr)
Given the slope of a line is and a point on the line is , find the y-intercept of the... (answered by ReadingBoosters)