write the equation of a line in slopeintercept form m 523Sol

write the equation of a line in slope-intercept form. m= -5(2,3)

Solution

The equation of a line in slope-intercept form is y = mx +c where m is the slope and c is the y-intercept. Here, m = 5 so that the equation of the required line becomes y = 5x +c. Also, the line passes through the point (2,3), therefore, on substituting x = 2 and y = 3 in the equation of the line, we get 3= 5*2+c or, 3 = 10 +c so that c = 3-10 = -7. Hence, the equation of the required line is y = 5x -7.