Question

I need help on this equation to turn it in to y= mx b form and i also need help on this question Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the answer in standard form.

P(−4, −9); m = − 3/4
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Answer 1

3x/4 + y = -12

Explanation:

Standard form:

Ax + By = C

P(-4,-9)

Slope = m = -3/4

Plug in the known values (x, y and m) to the equation:

y = mx + b = -3(-4)/4 + b = -9

Simplify the and solve for b:

-3(-4)/4 + b = -9

3 + b = -9

b = -12

Plug in b and m to the equation:

y = -3x/4 - 12

Move all variables to one side and make sure the coefficient of x is positive:

3x/4 + y = -12

Answer 2

y= -3/4x -12

Standard form: 3x+4y= -48

Explanation:

y-y1=m(x-x1)

y+9= -3/4(x+4)

y+9= -3/4x -3

y= -3/4x -12