The equation of the straight line which has a gradient of -2 and passes through (1, 7) is y = -2x + 9.
How to get the slope-intercept form of a straight line equation?
The slope-intercept form of the equation
y = mx +c
Here
m is the slope
c is the y-intercept
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
Substituting the point (1, 7) and m = -2 to determine the y-intercept
y = mx +c
7 = (-2)1 + c
c = 7 + 2
c = 9
Thus, the equation of a line using the slope-intercept form is
y = mx +c
m= -2
c = 9
y = -2x + 9
Therefore, we conclude that the equation of a line using the slope-intercept form is y = -2x + 9.
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