<h2>
The slope intercept form of the given equation is: y = 2x + ( - 20) </h2>
Step-by-step explanation:
Given,
The equation y + 18 = 2( x - 1)
To write the given equation in the slope intercept form = ?
∴ The equation y + 18 = 2( x - 1)
⇒ y + 18 = 2x - 2
⇒ y = 2x - 2 - 18
⇒ y = 2x - 20
⇒ y = 2x + ( - 20) ..... (1)
We know that,
The equation of slope intercept form,
y = mx + c
Where, m is the sope and c is the y-intercept
∴ The slope intercept form of the given equation is: y = 2x + ( - 20)
Answer: Girls: 20
Boys: 30
Step-by-step explanation: 40% of 50 is 20, which means there are 20 girls.
Subtract 50-20 to get the number of boys, which is 30.
Answer:
The equation of the line is
2y=x+8
Step-by-step explanation:
This is a straight line graph.
And general equation of a straight is given by
y=mx+c
Where m is slope
c is the intercept on y axis at x=0
So at y=0, x=8. This is from the graph.
And inserting this value of y and x into the straight line equation
y=mx+c
0=-8m+c
Therefore, c=8m. Equation 1
Taking another point on the graph
at=0, y=4
Also, inserting this value of y and x into the straight line equation
4=0×x+c
4=0+c
Therefore, c=4.
Therefore the intercept is 4
From equation 1
c=8m c=4
Then m=c/8
m=4/8
m=1/2
Then the equations of then line is
y=mx+c
y=(1/2)x+4
Multiply through by 2
2y=x+8
The equation of the line is
2y=x+8
Answer:
1) y=⅚x -2⅓
2) y=8/3x -5
Step-by-step explanation:
<u>Point-slope form:</u>
y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 
Thus, m=⅚
Susbt. m=⅚ into the equation,
y= ⅚x +c
Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.
When x=4, y=1,
1= ⅚(4) +c
Thus the equation of the line is 
.
The gradients of perpendicular lines= -1.
Gradient of given line= -⅜
-⅜(gradient of line)= -1
gradient of line
= -1 ÷ (-⅜)
= -1 ×(-8/3)
= 
When x=3, y=3,
Thus the equation of the line is 
.
Answer:
18 but look at others awnsers aswell
Step-by-step explanation:
