ANSWER
EXPLANATION
We want to find the equation of the straight line given on the graph.
The general form of a linear equation is given as:
where m = slope; b = y-intercept
To find the slope, we apply the formula for slope:
where (x1, y1) and (x2, y2) are two points on the line
Let us pick (1,2) and (4,4)
Therefore, the slope is:
To find the equation, we now apply the point-slope formula:
Therefore, we have that the equation of the line is:
That is the equation of the line.
Answer:
C and D
Step-by-step explanation:
Use Pythagorean theorem to test
a^2 + b^2 = c^2 ? a and b are the shorter two sides c = longest side
Doing this for each data set shows C and D ARE rt triangles
Answer:
0
Step-by-step explanation:
m=y1-y2/x2-x1. Plug in your values. -7-(-7)/1-(-4). Simplifies to 0/5, or 0.
Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
The apartment complex has 20 apartment per buildings 4 apartment are 3 bedroom apartment, 7 are 2 bedroom unit,and 9 apartment are 1 bedroom units.if the apartment complex builds 50 buildings how many 3 bedroom units would they have?
