Final answer:
To find an equation in slope-intercept form parallel to 3x - y = 4 and passes through the point (-2, 1), we need to determine the slope of the given equation and find the y-intercept. The equation that fulfills these conditions is y = 3x + 7.
Step-by-step explanation:
To find an equation in slope-intercept form parallel to the given equation 3x - y = 4, we need to determine the slope of the given equation.
To do this, we can rearrange the equation into the slope-intercept form y = mx + b, where m represents the slope and b represents the y-intercept.
So, the given equation can be rewritten as y = 3x - 4.
Since we want our new equation to be parallel to the given one, it must have the same slope of 3.
Now, we can use the point (-2, 1) to find the y-intercept, b, of our new equation.
Substituting the x and y values into the slope-intercept form, we get 1 = 3(-2) + b.
Simplifying the equation, we have 1 = -6 + b.
Adding 6 to both sides, we find b = 7.
Therefore, the equation in slope-intercept form parallel to 3x - y = 4 and passes through the point (-2, 1) is y = 3x + 7.
Learn more about Equation in slope-intercept form