Write a linear equation provided the following key information: slope= 3/5, y-intercept= 6

A. y= 6 + 3/5
B. y= 3/5x + 6
C. y= 3/5 + 6
D. y= 6x + 3/5

Given:

Slope = and y-intercept = 6.

To find:

The linear equation for the given information.

Solution:

The slope intercept form of a linear equation is

Where, m is the slope and b is the y-intercept.

Putting and b =6 in the above equation, we get

The required linear equation for the given information is .

Therefore, the correct option is B.

i can't read the graph

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form