# SOLUTION: Write the equation of the line with slope 12 that goes through the point (-1,4)

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 Question 110172This question is from textbook Beginning and Intermediate Algebra : Write the equation of the line with slope 12 that goes through the point (-1,4)This question is from textbook Beginning and Intermediate Algebra Found 2 solutions by checkley71, bucky:Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!Y=mX+b 4=12*-1+b b=4+12 b=16 ANSWER FOR THE Y INTERCEPT. Y=12X+16 ANSWER. Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!One way to solve this problem is to use the slope-intercept form of an equation. The slope- intercept form is: . y = mx + b . where m is the slope and b is the value on the y-axis at which the graph intersects the y axis. . This problem tells you that the slope is +12. You can substitute this into the slope-intercept form and the equation becomes: . y = 12x + b . The problem also tells you that the point (-1, 4) is on the graph. This tells you that when x is -1 and y is 4, the equation works. If you substitute these values for x and y in the equation, you get: . 4 = 12*(-1) + b . Multiplying out the right side results in the equation: . 4 = -12 + b . Get rid of the -12 on the right side by adding 12 to both sides. This makes the equation: . 16 = b . [This tells you that the graph crosses the y-axis at the value +16] . Now that we know b = +16 we can substitute that into our equation and it becomes: . y = 12x + 16 . This is the equation for a line that has a slope of 12 and goes through the point (-1, 4). . You can now get other points on the line by assigning values to x and calculating the corresponding value of y. For example, let x = 5. Then the corresponding value of y equals 12*5 + 16 = 60 + 16 = 76. So the point (5, 76) is on the line. . Hope this helps you to understand the problem and how to solve it. .