Graphing Solutions

graphing solutions

100

what are is the first 2 steps to graphing sloutions

• Graph the first equation.
• Graph the second equation on the same rectangular coordinate system.

200

what are the 3-5 steps to solving graphing solutions

Determine whether the lines intersect, are parallel, or are the same line.

Identify the solution to the system. ...

Check the solution in both equations.

300

Which point is the solution of the graph?

 the point where the two graphs intersect.

400

What graph has no solution?

 The graphs of the lines do not intersect, so the graphs are parallel

500

What makes a graph a solution?

If the graphs of the equations intersect, then there is one solution that is true for both equations

random graphing solution questions

100

Is it a solution if it's on the line?

every point on that line is a solution for the system of equations.

200

How do you find equation of a line?

1. Identify the slope.
2. Identify the point.
3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
4. Write the equation in slope-intercept form.

300

How do I find the slope in a graph?

divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

400

How do you calculate slope?

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

500

Why do we calculate the slope of a line?

The slope can also tell you information about the direction of the line on the coordinate plane.

infinite solution

100

what is infinite solutions

has both sides equal

200

What is an infinite solution problem? 

a statement that's true no matter what.

300

how can you tell if an equation has infinite solutions

If the two lines have the same y-intercept and the slope, they are actually in the same exact line

400

What is infinite solutions on a graph

If the graphs of the equations intersect, then there is one solution that is true for both equations

500

Which systems have infinite solutions

A system of linear equations

no solution

100

what is no solution

there is no answer to the equation

200

What is an example of no solution

3x + 5 = 3x - 5

300

What is the condition for no solution

 (a1/a2) = (b1/b2) ≠ (c1/c2),

400

Which lines have no solution

when the graphs are parallel

500

What is no solution in linear equations in two variables

if the two linear equations have equal slope value

one solution

100

what is one solution

if you solve the equation and get a variable equal to a number.

200

What is an example of one solution

7x – 35 = 0

300

What equation has only one solution

 x2 + 2x + 1 = 0

400

What is a one solution graph

When a system of equations intersects at an ordered pair, the system has one solution

500

How do you know if a graph has 1 solution

If the graphs of the equations intersect, then there is one solution that is true for both equations