The equation of line s is y=−21x+5. Line t includes the point (−10,−4) and is parallel to line s. What is the equation of line t? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Q. The equation of line s is y=−21x+5. Line t includes the point (−10,−4) and is parallel to line s. What is the equation of line t? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Parallel Lines Slopes: Line t is parallel to line s.Are their slopes the same?Yes, parallel lines have the same slope.
Equation of Line s: Equation of line s: y=−21x+5Find the slope of line s.Compare y=−21x+5 with y=mx+b.m=−21Slope of line s: −21
Slope of Line t: Line t is parallel to s.Slope of line s: −21Find the slope of line t.Since line t is parallel to line s, its slope is also −21.Slope of line t: −21
Finding Y-Intercept: For line t: Slope (m): −21Point: (−10,−4)Plug these values in y=mx+b and find the y-intercept.−4=−21(−10)+b−4=5+b−4−5=b−9=b
Equation of Line t: For line t: Slope m: −21y-intercept b: −9What is the equation of the line t in slope-intercept form?Substitute −21 for m and −9 for b in y=mx+b.y=−21x−9
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