y+4=3(x+1) - this equation is in point-slope form. The equation in slope-intercept form is y=3x-1.
Step-by-step explanation:
Since the line is parallel, the slope is the exact same. Since we have the info of the slope and a point on the line, the most obvious choice would be to put in point-slope form, which is y+4=3(x+1). Now, if the equation is needed in slope -intercept form, you can use algebraic processes to convert. First, I would distribute the 3 into the expression in the parenthesis( multiply everything in the expression by 3), which would make the equation y+4=3x+3. Then, I would subtract 4 from both sides of the equation to isolate the y variable, which would give me y=3x-1. Now, the equation is in slope-intercept form.
