Question

Indicate the equation of the line through (2, -4) and having slope of 3/5. Answer: _x__y=

Answer 1

Point-Slope form of a line is: y - y1 = m(x - x1)

X1 = 2, y1 = -4; m = 3/5. Substitute in the above equation.

Answer 2

I tried filling in the blanks and I don't know if I didn't the process right of what but it didn't give me the answer to fill in the blanks of the already partially given answer.

Answer 3

y = mx + b
slope(m) = 3/5
(2,-4) x = 2 and y = -4
now sub and solve for b
-4 = 3/5(2) + b
-4 = 6/5 + b
-4 - 6/5 = b
-20/5 - 6/5 = b
-26/5 = b
so now we have :
y = 3/5x - 26/5 (you want this in standard form Ax + By = C)
multiply the entire equation by 5
5y = 3x - 26 -- subtract 3x
-3x + 5y = -26 -- multiply by -1 to make x positive
3x - 5y = 26 ===> your equation in standard form

Answer 4

I used slope intercept form. You can also use point-slope form and you will get the same answer. You just have to turn it to standard form. Any questions ?

Answer 5

Thank you! No questions. [:

Answer 6

your quite welcome :)