Answer:
D. y = 5x + 29
Step-by-step explanation:
To write an equation of a line in slope-intercept form, we need to find the slope and the y-intercept.
The equation of a line is y=mx + b.
x and y are the coordinates of any point on a line.
m is the slope.
b is the y-intercept.
Lines are parallel to each other when they have the same slope. A line parallel to y = 5x + 2 would also have the slope 5.
m = 5
Since we have a point on the line, (-6, -1) and the slope, 5, there is only one missing variable, b, the y-intercept.
Substitute the known information into the equation and isolate b.
y = mx + b
-1 = 5(-6) + b <=Simplify by solving 5 X -6
-1 = -30 + b
-1 + 30 = -30 + 30 + b <= Add 30 to both sides to isolate b
29 = b
b = 29 <= Standard formatting puts the variable on the left side
Put the m and b values into the equation of a line to solve:
y = mx + b
y = 5x + 29
Answer:
m∠1 = 110° and m∠2 = 70°
Step-by-step explanation:
m∠1 = 110° since vertical angles
To find m∠2, m∠1 and m∠2 must add to 180°
m∠1 + m∠2 = 180°
110° + m∠2 = 180°
m∠2 = 70°
Answer:
19 wrong answers.
Step-by-step explanation:
Given:
Sahil got 28 questions right.
Angelina got 7 more wrong answers than Sahil.
There where 40 questions on the test.
Question asked:
How many answers did Angelina get wrong on the math test ?
Solution:
Total questions on the test = 40
Number of right answers, Sahil got = 28
Number of wrong answers, Sahil got = 40 - 28 = 12
As Angelina got 7 more wrong answers than Sahil,
Number of wrong answers, Sahil got = 12
Then, number of wrong answers, Angelina got = 12 + 7 = 19
Therefore, 19 answers did Angelina get wrong on the math test out of 40.
