To find the equation of the line in slope-intercept form, we first need to find the slope of the line.
The slope is calculated as (y2 - y1) / (x2 - x1) using the two points (0,1) and (1,-4).
Slope = (-4 - 1) / (1 - 0) = -5 / 1 = -5
We now have the slope (-5) and one point (0,1). We can substitute these values into the slope-intercept equation y = mx + b:
1 = -5(0) + b
1 = b
Therefore, the equation of the line in slope-intercept form is y = -5x + 1, which is option (b).
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid downward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 1 right parenthesis and left parenthesis 1 comma negative 4 right parenthesis.
Write the equation of the line in slope-intercept form.
a. −5x−y=−1
b. y=−5x+1
c. y=−5x−1
d. y=5x+1
1 answer
1 answer