Line v has an equation of y=8x+2. Line w is parallel to line v and passes through (−1,−2). What is the equation of line w?Write the equation in slope-intercept form.
Q. Line v has an equation of y=8x+2. Line w is parallel to line v and passes through (−1,−2). What is the equation of line w?Write the equation in slope-intercept form.
Slope Match: Line w is parallel to line v. Do their slopes match? Yes, parallel lines have the same slope.
Equation of Line v: Equation of line v: y=8x+2Find the slope of line v.Compare y=8x+2 with y=mx+b.m=8Slope of line v: 8
Slope of Line v: Line w is parallel to v.Slope of line v: 8Find the slope of line w.Since line w is parallel to line v, its slope is also 8.Slope of line w: 8
Slope of Line w: For line w: Slope m: 8Point: (−1,−2)Plug these values in y=mx+b to find the y-intercept of line w.−2=8(−1)+b−2=−8+bb=−2+8b=6
Y-Intercept of Line w: For line w: Slope m: 8y-intercept b: 6What is the equation of the line w in slope-intercept form?Substitute 8 for m and 6 for b in y=mx+b. y=8x+6
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