Question

19x - 5y = 6 convert linear equation into slope-intercept form.

a) y = 3.8x - 1.2
b) y = 3.8x + 1.2
c) y = 1.2x - 3.8
d) y = -1.2x + 3.8

Answer 1

The linear equation is converted to slope-intercept form by isolating y and simplifying, resulting in the equation y = 3.8x - 1.2.

Step-by-step explanation:

To convert the linear equation 19x - 5y = 6 into slope-intercept form, we need to solve for y so that it's in the form of y = mx + b, where m is the slope and b is the y-intercept.

• First, add 5y to both sides: 19x = 5y + 6.
• Next, subtract 6 from both sides: 19x - 6 = 5y.
• Finally, divide each term by 5 to solve for y: y = (19/5)x - (6/5).

Converting 19/5 and 6/5 to decimal form gives us y = 3.8x - 1.2, which makes the correct answer (a) y = 3.8x - 1.2.