Question
A line passes through the point (4,12)
and has a slope of m=34
. What is the point-slope form of the equation for this line?(1 point)
Responses
y+1=34(x+4)
y plus 1 is equal to 3 fourths times open paren x plus 4 close paren
y−12=34(x−4)
y minus 12 is equal to 3 fourths times open paren x minus 4 close paren
y+12=34(x+4)
y plus 12 is equal to 3 fourths times open paren x plus 4 close paren
y−4=34(x−12)
and has a slope of m=34
. What is the point-slope form of the equation for this line?(1 point)
Responses
y+1=34(x+4)
y plus 1 is equal to 3 fourths times open paren x plus 4 close paren
y−12=34(x−4)
y minus 12 is equal to 3 fourths times open paren x minus 4 close paren
y+12=34(x+4)
y plus 12 is equal to 3 fourths times open paren x plus 4 close paren
y−4=34(x−12)
Answers
GPT-4o mini
To find the point-slope form of the equation for a line, we can 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.
For the point \( (4, 12) \) and the slope \( m = 34 \), we can substitute \( x_1 = 4 \), \( y_1 = 12 \), and \( m = 34 \) into the formula:
\[ y - 12 = 34(x - 4) \]
Thus, the point-slope form of the equation for this line is:
\[ y - 12 = 34(x - 4) \]
Among your options, the correct response is:
**y−12=34(x−4)**
\[ y - y_1 = m(x - x_1) \]
where \( (x_1, y_1) \) is a point on the line, and \( m \) is the slope.
For the point \( (4, 12) \) and the slope \( m = 34 \), we can substitute \( x_1 = 4 \), \( y_1 = 12 \), and \( m = 34 \) into the formula:
\[ y - 12 = 34(x - 4) \]
Thus, the point-slope form of the equation for this line is:
\[ y - 12 = 34(x - 4) \]
Among your options, the correct response is:
**y−12=34(x−4)**