A line passes through the points (5, 3)

Question

and has a slope of m=49
. What is the point-slope form of the equation for this line?(1 point)
Responses

y+1=4/9(x+4)
y plus 1 is equal to 4 ninths times open paren x plus 4 close paren - incorrect

y−3=4/9(x−5)
y minus 3 is equal to 4 ninths times open paren x minus 5 close paren - no response given

y+3=4/9(x+5)
y plus 3 is equal to 4 ninths times open paren x plus 5 close paren - no response given

y−3=5/3(x−5)

Answer 1

To write the equation of a line in point-slope form, we use the formula:

\[ y - y_1 = m(x - x_1) \]

where \( (x_1, y_1) \) is a point on the line and \( m \) is the slope.

Given the point \( (5, 3) \) and the slope \( m = 49 \), we can substitute these values into the formula.

Let \( x_1 = 5 \) and \( y_1 = 3 \), and \( m = 49 \):

\[ y - 3 = 49(x - 5) \]

So, the point-slope form of the equation for the line is:

\[ y - 3 = 49(x - 5) \]

From the options you provided, the closest correct response is:

y−3=49(x−5)

However, it seems this exact form is not listed among the responses you gave. But if you're looking for the one that has the correct format, none of them are correct if they contain the slope value that is not equal to 49.

Make sure to check the slope value or points again if they are accurate.