QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.
EQUATION:- 2x - 3y + 36 = 0
STANDARD EQUATION:- y=mx+c
where
- m-> slope.
- c-> Y-INTERCEPT
- x&y are the coordinates.
SO GIVEN EQUATION:- 2x - 3y + 36 = 0
WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION
SO :-
Answer:
Step-by-step explanation:
Given
The attached graph
Required
Determine the equation in point slope form
From the graph, we have the following points;
First, we calculate the slope (m):
The equation is then calculated using:
Substitute x and y values
A it is a many to one function
1 1/5 can be written as 6/5
7 1/2 can be written as 15/2
Let X be the number of laps Kellyn wants to jog to meet her 7 1/2 mile goal:
6/5x = 15/2 Multiply both sides by (5/6), the inverse of 6/5
x = 15(5) / 2 ( 6)
x = 75 / 12
X = 25 / 4, or 6 and 1/4 laps
Answer:
y = -x - 4
Step-by-step explanation:
First find the slope
y - 4 = (x - 6)
y - 4 = x - 6
y = x - 6 + 4
y = x - 2 (y = mx + C)
Slope m = 1
It is said that the line is perpendicular to a point ( -2, -2)
If two lines are perpendicular, their slope will be negative reciprocal
The negative reciprocal of slope = 1 is -1
Using a slope intercept form as requested by the question
y = mx + C
Inserting the values given
(-2, -2)
We are using point slope form
y - y_1 = m ( x - x_1)
x_1 = -2
y_1 = -2
m = -1
Insert the values
y - ( -2)) = -1( x - (-2))
y + 2 = -1 ( x + 2)---- point slope form
But we are requested to give the answer in slope intercept form
y = mx + C
We have to open the bracket
y + 2 = -1(x + 2)
y + 2 = -x - 2
y = -x - 2 - 2
y = -x - 4 ( slope - intercept form)
