What is the equation of the line (in slope-intercept form) that is parallel to y=6x−1 and passes through the point (−3,4)?

Step-by-step explanation:

We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is where we substitute a point (x,y) for .  

We know it is parrallel to the listed line in slope intercept form. Recall, y=mx+b tells that the m is slope. Since y=6x-1, then m=6. We also have a point for the new line (-3, 4). We input m and .

We now simplify the parenthesis and solve for y.

We add 4 to both sides to isolate y,

This is slope intercept form. The line as slope 6 and y-intercept (0,22) or b=22.

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