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4 years ago

Which of the following is the equation of a line in slope-intercept form for a line with slope = 5 and y-intercept at (0, -3)?

Mathematics

2 answers:

goblinko [34]4 years ago

5 0

Answer

hello :

note : The equation of a linear function in point-slope form is : y – y1 = m(x – x1)

The point is A (x1 , y1)

Step-by-step explanation:

in this exercice : m = 5 x1 = 0 y1 = -3

the equation of a line in slope-intercept form for a line is :

y - ( -3) = 5 ( x - 0)

y +3 = 5 ( x - 0)

Zolol [24]4 years ago

4 0

Answer:

$y=5x-3$

Step-by-step explanation:

the equation of a line in slope-intercept form for a line with slope = 5 and y-intercept at (0, -3)

Slope intercept form of a line is $y=mx+b$

where m is the slope and b is the y intercept

given slope =5 and y intercept $b=-3$

now plug in the values in the slope intercept for $y=mx+b$

$y=5x-3$

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Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

Solnce55 [7]

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is $\mathbf{y=-\frac{2}{3}x+3 }$

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The equation in slope-intercept form is: $y=mx+b$ where m is slope and b is y-intercept.

Finding Slope:

The both equations given are parallel. So, they have same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation $y=mx+b$ where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept

Using slope m = -2/3 and point (-3,5) we can find y-intercept

$y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3$

So, we get b = 3

Now, the equation of required line:

having slope m = -2/3 and y-intercept b =3

$y=mx+b\\y=-\frac{2}{3}x+3$

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is $\mathbf{y=-\frac{2}{3}x+3 }$

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Answer:

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