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A straight line has a slope of and passes through the point (-4,1)

(i)
Find the y intercept.

User Sparkler
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Final answer:

To find the y-intercept, we can use the point-slope form of a linear equation and substitute the given values to solve for the y-intercept


Step-by-step explanation:

To find the y-intercept, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point. Plugging in the values, we get y - 1 = m(x + 4). Since we have the slope but not the equation of the line, we can't determine the y-intercept this way. However, the y-intercept is the point where the line intersects the y-axis, and the equation of a straight line in slope-intercept form is y = mx + b, where b is the y-intercept. Since the line passes through the point (-4, 1), we can substitute these values into the equation and solve for b. 1 = m(-4) + b. We need the value of the slope to solve for the y-intercept.


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User Aybe
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