Question

The line y=____x+____ passes through (-3,7) and is parallel to y=4x-1

Answer 1

The line y=4x+19 passes through (-3,7) and is parallel to y=4x-1

Step-by-step explanation:

Given equation of line

y=4x-1

The equation of line is in slope-intercept form so the co-efficient of x will be he slope of the line

So the slope of line is: 4

Any line parallel to this line will have same slope, as parallel lines have equal slopes.

So,

m=4

Slope-intercept form is:

$y=mx+b$

Putting the value of slope

$y=4x+b$

To find the value of b, we will put (-3,7) in the equation

$7=4(-3)+b\\7=-12+b\\b=7+12\\b=19$

Putting the values of b and m we get

$y=4x+19$

The line y=4x+19 passes through (-3,7) and is parallel to y=4x-1

Keywords: Equation of line, Slope-intercept form

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