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In this lesson, we will learn how to write linear equations in point-slope form for a line of a known slope that contains the point (h,k).

Q1:

Find, in point-slope form, the equation of the graph with slope 4 that passes through the point ( 2 , β 3 ) .

Q2:

Write the equation represented by the graph shown. Give your answer in the form π¦ β π = π ( π₯ β π ) .

Q3:

Find, in point-slope form, the equation of the line with slope 2 7 that passes through the point π΄ ( 1 , β 1 0 ) .

Q4:

Write the equation of the line of slope 10 that passes through the point ( 1 , β 2 ) in the form π¦ = π π₯ + π .

Q5:

Which of the following is a point on the line π¦ = 1 3 π₯ β 4 ?

Q6:

A line πΏ has a slope of 1 3 and passes through the point ( 1 , 1 ) . Work out the equation of the line, giving your answer in the form π¦ = π π₯ + π .

Q7:

Which of the following graphs represents the equation π¦ β 5 = 2 3 ( π₯ β 3 ) ?

Q8:

Q9:

Write, in the form π¦ = π π₯ + π , the equation of the line of slope 8 1 1 that meets the π¦ -axis at the point ( 0 , 5 ) .

Q10:

Find, in point-slope form, the equation of the graph with slope β 2 that passes through the point (1, 6).

Q11:

Determine the equation of the line which passes through point ( β 7 , β 8 ) and is perpendicular to the line meeting the π₯ -axis at 9 and the π¦ -axis at 1.

Q12:

Q13:

Which of the following graphs represents the equation π¦ + 1 = 2 ( π₯ β 4 ) ?

Q14:

Which of the following graphs represents the equation π¦ β 2 = 4 ( π₯ β 1 ) ?

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