Select the two statements that are true about the equation −10=60(−40). A. The line has a slope of 10. B. The line has a slope of 60. C. One point of the line is (40, 10) D. One point of the line is (10, 60)

Complete question :

Select the two statements that are true about the equation y−10=60(x−40)

m = 60

One point on the line is (40, 10)

Step-by-step explanation:

Given the equation :

y−10=60(x−40)

Comparing the equation with the point slope equation formula :

y - y1 = m(x - x1)

Where, x1 and y1 are points on the line

m = Slope

From here, we can deduce that:

y1 = 10 ; x1 = 40 and m = 60

(x1, y1) = (40, 10)

m = slope = 40

(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

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