MATH SOLVE

5 months ago

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

Accepted Solution

A:

The line y=4x+19 passes through (-3,7) and is parallel to y=4x-1Step-by-step explanation:Given equation of liney=4x-1The equation of line is in slope-intercept form so the co-efficient of x will be he slope of the lineSo the slope of line is: 4Any line parallel to this line will have same slope, as parallel lines have equal slopes.So,m=4Slope-intercept form is:[tex]y=mx+b[/tex]Putting the value of slope[tex]y=4x+b[/tex]To find the value of b, we will put (-3,7) in the equation[tex]7=4(-3)+b\\7=-12+b\\b=7+12\\b=19[/tex]Putting the values of b and m we get[tex]y=4x+19[/tex]The line y=4x+19 passes through (-3,7) and is parallel to y=4x-1Keywords: Equation of line, Slope-intercept formLearn more about equation of line at:brainly.com/question/4460262brainly.com/question/4464845#LearnwithBrainly