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SOVA2 [1]
3 years ago
15

Write the equation of the line that passes through the point 0,3 and has a slope of 5/2

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0

Answer:

y = 5/2x + 3

Step-by-step explanation:

Given the point (0, 3) and the slope of 5/2, we can plug those values into the following slope-intercept form:

y = mx + b

where m = slope = 5/2

b = y-intercept (the point in the graph where it crosses the y-axis; it is also value of y when x = 0). The y-coordinate of the given point contains the y-intercept, (0, 3).  Therefore, the y-intecept = 3.

Putting these factors together, we can write the following equation:

y = 5/2x + 3

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A given line has the equation 10x 2y=−2 . what is the equation, in slope-intercept form, of the line that is parallel to the giv
aivan3 [116]

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

Learn more on equation of a line  here: brainly.com/question/13763238

#SPJ4

3 0
2 years ago
Use the figure. Help me with this please
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3 years ago
Does 5mm, 1mm, 10mm make a triangle
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Answer:

Step-by-step explanation:

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