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

1. 3x + y = 5

2. 5x - y = -3

3. x - y = 7

Step-by-step 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

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3