Question

Please help

write the equation in the equivalent Ax + By = C form. Then identify x - intercept, y - intercept, and slope.

1. y =- 3x + 5

2. y = 5x + 3

3. y = x - 7​

Answer 1

1. 3x + y = 5

2. 5x - y = -3

3. x - y = 7

Explanation:

The standard form of a linear equation is Ax + By = C where A and B cannot be fractions and A is not negative. To write in standard form, move the x term to the other side of the equal sign. If the x term becomes negative then multiply the equation by -1.

1. y =- 3x + 5 Slope: -3

Y-intercept: (0,5)

3x + y = 5 x-intercept: (5/3, 0)

2. y = 5x + 3 Slope: 5

Y-intercept: (0,3)

-5x + y = 3 X -intercept: (-3/5, 0)

-1(-5x + y = 3)

5x - y = -3

3. y = x - 7 Slope: 1​

-x + y = -7 Y-intercept: (0, -7)

-1(-x + y = -7) X-intercept:(7,0)

x - y = 7