Question

Obtaining the Equation of a Line
Lesson 1 on Graphing
Come Learn with me!

Answer 1

If you know the slope of a line and the y-intercept, we can write an equation of a line in slope-intercept form. Sometimes we are given the slope and a point on the line. We use the information to find the y-intercept. Then we can write an equation of the line.

Answer 2

Find the equation of a line with a slope of 4 that passes through the point (3,1).
We Are given the fallowing values: M=4, X=3, Y=1.
Y=mx+b
Y=4x+b We are given that the slope of the line is 4.
1=4(3)+b Since (3,1) is a point on the line, it satifies the equation
Subisitute x = 3 and y = 1 into the equation.
Solve for b.
1=12+b
-11=b
Thus the y-intercept is -11. We can now write the equation of the line
y=4x-11

Answer 3

To find the equation of a line given a point and a slope
1. Sub the given values of x,y, and m into the equation y=mx+b
2. Solve for b
3. Use the values of b and m to write the equation in the form of y=mx+b

Answer 4

are you sure?

Answer 5

-2/5 is slope not -2/3

Answer 6

given a slope and a point, use the point-slope form \(\large y-y_1 = m (x-x_1) \) then solve for y

Answer 7

nope what about (-2/3)(-3) ?

Answer 8

are you paying attention or what?

Answer 9

read the information I provided

Answer 10

better to change slope which is in the question -2/5 to -2/3

Answer 11

alright I already told you what to use but you keep insisting

Answer 12

what did i say ?
that's an example
you already solved that
if you want -2/5 then you to solve it again (-2/5)(-3) = ?

Answer 13

@nincompoop can't we use slope intercept form ??

Answer 14

Find the equation of the line with the slope of \[\rm-\frac{ 2 }{ 3 }\] And passes throught the point (-3,6)
We write the values out \[\rm \color{red}{m}=-\frac{ 2 }{ 3 }, x=-3, y=6\]\[\huge\rm y=\color{red}{m}x+\color{blue}{b}\] \[\large\rm 6 = (-\frac{ 2 }{ 3 })(-3) +\color{blue}{ b}\]\[\rm 6=2+b\]\[\rm4=\color{blue}{b}\] The equation of the line is \[\large\rm y=\color{red}{-\frac{ 2 }{ 3 }}x+\color{blue}{4}.\]