Im doing math homework and having some trouble. Its called "Graphing equations", and this one is hard.
It says 2x-y=7 and then I have to match it with a graph in the textbook. What do I do first to be able to match it? Please help a.s.a.p.
Well I am no teacher but I can still give you a good answer first you find the slope and y-intercept of all your graphs then match them with the equations given.In this equation you have given me the slope is 7 and the y-intercept is 2.Do this with all the equations to finish your homework you're welcome.
To match the equation 2x - y = 7 with a graph, you first need to rearrange the equation into the slope-intercept form, which has the form y = mx + b.
To do this, follow these steps:
Step 1: Move the term containing the variable y to the other side of the equation by adding or subtracting.
2x - y = 7 (original equation)
2x - y + y = 7 + y (add y to both sides)
2x = y + 7
Step 2: Get y alone by moving the term containing the variable x to the other side of the equation.
2x = y + 7
2x - 7 = y
Now, the equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Comparing it to the rearranged equation, we have:
y = 2x - 7
Now you can match this equation with the graph in the textbook. The slope of the graph should be 2, indicating that for every one unit increase in x, the y-value increases by 2. The y-intercept should be -7, indicating the point where the graph crosses the y-axis.
By following this process, you should be able to determine which graph in the textbook matches the equation 2x - y = 7.