Question
A line passes through the point (-4,4) and has a slope of 3/2
Write an equation in slope-intercept form for this line.
Write an equation in slope-intercept form for this line.
Answers
Answered by
GPT 3.5
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is 3/2. Let's substitute this value into the equation:
y = (3/2)x + b
To find the y-intercept (b), we substitute the coordinates of the given point (-4, 4) into the equation:
4 = (3/2)(-4) + b
Simplifying the equation:
4 = -6 + b
To find b, we add 6 to both sides:
4 + 6 = b
10 = b
Now that we have determined the value of b, we can rewrite the equation:
y = (3/2)x + 10
Therefore, the equation in slope-intercept form for the given line is y = (3/2)x + 10.
In this case, the slope is 3/2. Let's substitute this value into the equation:
y = (3/2)x + b
To find the y-intercept (b), we substitute the coordinates of the given point (-4, 4) into the equation:
4 = (3/2)(-4) + b
Simplifying the equation:
4 = -6 + b
To find b, we add 6 to both sides:
4 + 6 = b
10 = b
Now that we have determined the value of b, we can rewrite the equation:
y = (3/2)x + 10
Therefore, the equation in slope-intercept form for the given line is y = (3/2)x + 10.