The equation of a line is written as t = ax + b where a is the slope and b is the y-intercept.
Using the slope and y intercept given the equation is:
Y = 3x + 2
Answer:
421/6 degrees
Step-by-step explanation:
The acute angles of a right triangle are complementary, so

So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.
Answer:
60-15/9
Step-by-step explanation:
Subtract (-) 15 from 60: 60-15
Divide (/) by 9: 60-15/9
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2