Question

Which graph represents the solution to the given system?
y = -2x + 5 and y = 3x - 2
A & B. https://snag.gy/VHkuD3.jpg
C & D. https://snag.gy/F5Ssk1.jpg

Answer 1

y = -2x + 5
What is the slope of this equation?

Answer 2

Do I replace y and x with 1 or 0?

Answer 3

these 2 equations are slope-intercept form

y = mx + b where m = slope and b = intercept on y axis.
So in the first equation we see that slope m = -2 and y-intercept = 5

Answer 4

No. All you need to do is look at slopes and y-intercepts and you can tell which graph is correct.

Answer 5

for y = 3x + 2

slope = 3 and y-intercept = 2


Check the graphs to see which one meets these values.

Answer 6

A positive slope goes up to the right.
A negative slope goes down to the right.
In y = mx + b, b is where the line intersects the y-axis.

Answer 7

Look at the first equation.

y = -2x + 5

The y-intercept is 5.
Look for a line intersecting 5 on the y-axis.
Also, the slope is -2, so look for a line that crosses the y-axis at 5 and goes down to the right.

Answer 8

Now look at the second equation.

y = 3x - 2

The y-intercept is -2.
The line corresponding to this equation must intersect the y-axis at -2.
The slope is positive, so you must have a line that goes up to the right.