Question

ASAP! I'LL GIVE YOU 10 POINTS! Can someone help me with my math? Please, I am begging you! It was due yesterday and I'm confused.

1. A line goes through the points (0,7) and (1,9). Write the following equation forms:
Point-Slope Form (using the point (1,9):
Slope-Intercept Form:
Standard Form:
2. Write the following equation forms given that f(−3)=4 and f(−1)=−4 are true of the line: Slope-Intercept Form:
Standard Form:

Answer 1

So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2.

Answer 2

Point slope form equation: y-y1=m(x-x1)
Where m=slope
Y1 is any y value from a point on the graph
X1 any x value from the same point on the graph

The first thing to do is find the slope

M= (9-7)/(1-0)=2/1=2

Next is to sun in values

the point given is (1,9)

So we put 9 in place of y1 and 1 in place of x1

So the line in point slope form is

Y-9=2(x-1)

Y intercept formula: y=mx+b

The only new letter is b which is the y intercept value (0,b)

The y intercept is the point where x is 0 which the problem says is (0,7)

So, keeping the same slope

The answer is

Y=2x+7

Standard form: Ax+By=C

Where A,B, and C are integers (can’t be fractions)

If you reorder the slope intercept form

You get

-2x+y=7

You have to flip the signs because a needs to be positive

So the answer is

2x-y=-7

2)

When you see something like f(-3)=4
That is saying when x is equal to -3, the whole equation is equal to 4

So f(x)=n

So when x is -3, y is 4 and when x is -1, y is -4

M=(4+4)/(-3+1)=8/-2=-4

Sub in points to find b

4=-4(-3)+b
4=12+b
b=-8

So,

Y=-4x-8

Std form

Move -4x to the left with addition to get

4x+y=-8

Hope that helped!