Question

The equation y minus two-thirds = negative 2 (x minus one-fourth) is written in point-slope form. What is the equation in slope-intercept form?

Answer 1

Answer:y = - 2x + 7/6

Step-by-step explanation:

The point slope form of the equation is expressed as

y - 2/3 = - 2(x - 1/4)

Comparing with the point slope form of an equation,

y - 1 = m(x - 1)

From the given equation,

Slope, m= - 2

The point through which the line passes through is ( 1/4 , 2/3)

The slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents intercept

To determine c, we we would substitute m = - 2, x = 1/4 and y = 2/3 into y = mx + c. It becomes

2/3 = - 2 × 1/4 + c

2/3 = - 1/2 + c

c = 2/3 + 1/2 = 7/6

Therefore, the slope intercept form would be

y = - 2x + 7/6