What is the slope intercept equation of this line

[tex]What is the slope intercept equation of this line[/tex]

Skip to content# What is the slope intercept equation of this line

Mathematics ##
Comments (10) on “What is the slope intercept equation of this line”

### Leave a Reply Cancel reply

What is the slope intercept equation of this line

[tex]What is the slope intercept equation of this line[/tex]

B. The slope-intercept equation is y = 4/3x+1

Step-by-step explanation:

A.B, and D

Step-by-step explanation:

bruh trust me i just took the thingy

Everything he said was correct!

Step-by-step explanation:

I hope this helps!

- sincerelynini

B. The slope-intercept equation is y = 4/3x+1

Step-by-step explanation:

When in doubt, plot the point and line and see where the y-intercept is. A point that is 3 units left and 4 units down from (3, 5) is (0, 1), the y-intercept. This eliminates answer choices A and C, and confirms answer choice B.

The equation of choice C is a point-slope equation using the point (5, 3) instead of the one given, (3, 5).

__

For a line with slope m through point (h, k), the equation in point-slope form is ...

y -k = m(x -h)

y -5 = (4/3)(x -3)

Adding 5 and eliminating parentheses gives ...

y = 4/3x +1

[tex]y=-3x+31[/tex]

Step-by-step explanation:

the general form of the slope-intercept equation is as follows:

[tex]y=mx+b[/tex]

where [tex]m[/tex] is the slope of the line, and [tex]b[/tex] is the y-intercept.

In this case we know that the slope is:

[tex]m=-3[/tex]

and the y-intercept is the value of [tex]y[/tex] when [tex]x=0[/tex], from the given point the y-intercept is at (0, 31) so the value of y, when [tex]x=0[/tex] is [tex]31[/tex], thus:

[tex]b=31[/tex]

and we substitute this values in the general form of the equation:

[tex]y=mx+b\\y=-3x+31[/tex]

the slope intercept equation is [tex]y=-3x+31[/tex]

A

Step-by-step explanation:

The slope is -3 (You can do rise over run or (y2 - y1)/(x2 - x1)) and the y-intercept is 4,so the equation is y=-3x+4

The y-intercept is -1.

The slope-intercept equation is y = 4 x minus 1.

The Point (3/8,1/2) corresponds to (x1, y1) in the point-slope form of the equation.

Step-by-step explanation:

The correct options are

(A) y-intercept is -1.

(B) the slope-intercept form is y = 4x - 1.

(D) The point [tex]\left(\dfrac{3}{8},\dfrac{1}{2}\right)[/tex]corresponds to [tex](x_1,y_1)[/tex]in the point-slope form of the equation.

Step-by-step explanation: We are given a line that has the slope of 4 and passes through the point [tex]\left(\dfrac{3}{8},\dfrac{1}{2}\right).[/tex]

We are to select the statements that are true about the given line.

We know that

the slope-intercept form of the equation of a line is given by

[tex]y=mx+c,[/tex]

where m is the slope and c is the y-intercept.

And, the point-slope form of the equation of a line is

[tex]y-y_1=m(x-x_1),[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point on the line.

So, the point-slope form of the given line is

[tex]y-\dfrac{1}{2}=4\left(x-\dfrac{3}{8}\right).[/tex]

That is, option (C) is incorrect and option (D) is CORRECT.

Now, the slope-intercept form of the equation of given line is

[tex]y-\dfrac{1}{2}=4\left(x-\dfrac{3}{8}\right)\\\\\\\Rightarrow y-\dfrac{1}{2}=4x-\dfrac{3}{2}\\\\\\\Rightarrow y=4x-\dfrac{3}{2}+\dfrac{1}{2}\\\\\Rightarrow y=4x-1.[/tex]

Comparing with the slope-intercept form, we get

y-intercept of the equation of given line = -1.

So, options (A) and (B) are CORRECT.

Thus, the correct options are

(A) y-intercept is -1.

(B) the slope-intercept form is y = 4x - 1.

(D) The point [tex]\left(\dfrac{3}{8},\dfrac{1}{2}\right)[/tex]corresponds to [tex](x_1,y_1)[/tex]in the point-slope form of the equation.

1 ) They are perpendicular.

2 ) m · (-1) / m = -1.

The product of the slopes is -1.

3 ) The center of the circle is ( 2, 2 ).

4 ) m = (6-2 ) / 5 -2 = 4/3

5 ) Slope of the tangent: m = - 3/4.

6 ) m = -3/4, passes through the point: ( 5. 6 ):

6 = - 15/4 + b

b = 24/4 + 15/4

b = 39/4

The slope-intercept equation is:

y = -3/4 x + 39/4

7) We will put : x = 0 in the linear equation.

8 ) We will put y = 0 in the linear equation.

9 ) y-intercept : y = 9.75

Zero: x = 13.

a b d

Step-by-step explanation:

i am too tired for this i got the Q right