Question
What is the equation in slope-intercept form of the line that passes through the points (-26,-11) and (39,34)
Solution
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(295 Votos)
Isaura
Mestre · Tutor por 5 anos
Resposta
To find the equation of the line in slope-intercept form that passes through the points
and
, we need to follow these steps:1. Calculate the slope of the line using the formula: Slope = (y2 - y1) / (x2 - x1) Substituting the given points: Slope = (34 - (-11)) / (39 - (-26)) Slope = 45 / 65 Slope = 9 / 132. Use the slope-intercept form of the equation of a line: y = mx + b Where: m = slope b = y-intercept3. Substitute the slope and one of the given points into the equation to solve for the y-intercept: -11 = (9/13)(-26) + b -11 = -18 + b b = -11 + 18 b = 74. Write the final equation of the line in slope-intercept form: y = (9/13)x + 7Therefore, the equation of the line in slope-intercept form that passes through the points
and
is:y = (9/13)x + 7