Find the equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C . m=7/4, (8,-2)

Question

Find the equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C . m=7/4, (8,-2)

 

HELP

Answer 1

The equation of the line in slope-intercept form will be

 

 

y = (7/4)x + b

 

 

Since the line passes through the point (8,-2), plug in the values of the point into the equation to find b.

 

-2 = (7/4)(8) + b

 

-2 = 14 + b

 

-16 = b

 

 

The equation of the line is

 

y = (7/4)x - 16

 

 

In standard form,

 

-(7/4)x + y = -16

 

 

Multiply both sides of equation by -4.

 

7x - 4y = -64

Answer 2

1. You can start by using the point slope formula

(y - y₁) = m(x - x₁) by substituting the slope and the coordinates for (x₁,y₁) with (8, -2).

 

2. Then use the distributive property to multiply the term with slope.

 

3. Next, move all terms with variables to the left side of the equation and all constant terms to the right side of the equal sign.

 

4. To get Ax to have a positive whole number value for A you may need to multiply all terms on both sides of the equation by -4.