Which system of inequalities is represented by the graph?

Mathematics

1 answer:

tresset_1 [31]3 years ago

4 0

Y1>3x-4 and y2<-2x+4

y1=3x-4
m1=-4-(-1)/0-1 =-3/-1=3

y1>3x-4

y2=-2x+4

m2= 4-0/0-2==4/-2=-2

y2<-2x+4

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4. What is the equation of line passing through (-2,4) and parallel to the line y<br> + 3x = 4?

aliya0001 [1]

Answer:

y=-3x-2

Step-by-step explanation:

step 1- find the slope

parallel to means same slope, so look at y+3x=4, its not in the correct slope form so we subtract both sides by 3x to get y=-3x+4, the slope is the coefficient of x which is -3. Slope equals 3

step 2- use the point slope form which is y-y1=m(x-x1)

and substitute in the numbers (only substitute y1,x1, and m)

m is the slope which we found to equal -3

x1 and y1 are the points that they gave us (-2,4) are (x1,y1)

x1=-2

y1=4

step 3- substitute

y-y1=m(x-x1)

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3 years ago

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klasskru [66]

Answer:

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Step-by-step explanation:

This question is asking for slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. First, find the slope; this can be done in two ways, counting change in y and x then dividing, or using the formula $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ . Either way for this graph the slope comes out as -1/3. Next, find the y-intercept, this is where the line intersects with the y-axis. In this case, the line touches the axis at 5, therefore 5 is the value of b.