Question

Put each Standard Form equation into Slope Intercept Form 10 x - 3 y = 15

y=-10/5x +3
y=15x +3
y= 10/3x -5
y=15x -10

Answer 1

The Standard Form equation 10x - 3y = 15 can be converted to Slope-Intercept Form y = (10/3)x - 5 by isolating y and dividing by -3.

Step-by-step explanation:

The question involves converting a linear equation from Standard Form to Slope-Intercept Form. To change the given equation 10x - 3y = 15 into Slope-Intercept Form, we need to solve for y. The Slope-Intercept Form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Here are the steps to convert the equation:

1. Isolate the y-term by moving the x-term to the right side of the equation: -3y = -10x + 15.
2. Divide each term by -3 to solve for y: y = (10/3)x - 5.

The resultant Slope-Intercept Form of the equation is y = (10/3)x - 5, where (10/3) is the slope, and -5 is the y-intercept. This form enables us to quickly identify these characteristics of the line graphically represented by the equation.