Write an equation of a line, in slope-intercept form, that passes through the po

Question

Write an equation of a line, in slope-intercept form, that passes through the points (3, -8 ) and (-1, 4 ) Write the equation of a line, in slope-intercept form, that has a x-intercept of - 4 and is perpendicular to the line 2x + 3y = 12. Write an equation of a vertical line that passes through the point (-2, 4). The percentage of homes with digital TV services, which stood at 5% at the beginning of 1999 (t = 0) was projected to grow linearly so that at the beginning of 2003 (t = 4) the percentage of such homes was projected to be 25%. Derive an equation of the line passing through the points A(0,5) and B(4.25). Using the equation found in part (a), find the percentage of homes with digital TV services at the beginning of 2001. If the line passing through the points (a, 1) and 15. 8) is parallel to the line passing through the points (4.9) and (a + 2,1). what is the value of a?

Explanation / Answer

line passes through points (x1,y1) = (3,-8) and (x2,y2) = (-1,4)

Two point form of line

y -y1 = [(y2 -y1)/(x2 -x1)](x -x1)

==> y -(-8) = [(4-(-8)]/[-1-3] (x -3)

==> y +8 = [12/-4] (x -3)

==> y +8 = -3x +9

==> y = -3x +1 is the required equation of line.

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