True o r False: y = - 5x + 7 is the equation of a line that passes through the point (3,6) and has a slope of - 5.
1 answer:
Answer:
False
Step-by-step explanation:
The equation in slope-intercept form of a line is y=mx+b, where x and y can represent a point on the line by using the coordinates (x,y), m is the slope, and b is the y intercept.
To double check this equation, plug in the coordinates of the point (3,6) to make sure both sides of the equation equal to each other.
6 = -5(3) + 7
6 = -15 + 7
6 = -8
Because the equation is invalid, the line does not pass through these points.
You might be interested in
The equation of the line is y = x + 9
Step-by-step explanation:
The equation of a line in slope-intercept form is y = m x + b, where
- m is the slope of the line
- b is the y-intercept ⇒ the value of y when x = 0
∵ The line has a slope
∴ m =
∵ The y-intercept is 9
∴ b = 9
- Substitute the values of m and b in the form of the equation below
∵ y = m x + b
∴ y = x + 9
The equation of the line is y = x + 9
Learn more:
You can learn more about the linear equations in brainly.com/question/12941985
#LearnwithBrainly