The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1
<h3>Equation of a line</h3>
A line is the distance between two points
Given the equation of a line expressed as 10x + 2y = -2. Determine the slope
2y = -10x -2
y = -5x - 1
Slope of the line is -5
The equation of a line in point-slope form is y - y1 = m(x-x1)
Substitute the point and the slope of the parallel line
y - 12 = -5(x - 0)
y - 12 = -5x
y = -5x + 12
Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12
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Answer:
5x + y - 4 = 0
Step-by-step explanation:
When we are given two points and are asked to find the equation of the line we use the two - point form.
Two - point form: 
.
where: 
and 
are the two points on the line.
Given the two points are: (5,21) and (-5,-29).
Substituting in the two point form:
⇒ 
⇒ 5x + y - 4 = 0
Answer:
27
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Given the equation, 
, let's solve for x as follows,
Subtract 200 from both sides
Subtract 15x from both sides
Divide both sides by -5
Answer:
39
Step-by-step explanation:
284-5(7)²
284-(5×49)
284-245
39
