Find the equation of a line (in y = mx + b form) through the point (-2,5) with an angle of inclination of 45°.

y = x + 7

Step-by-step explanation:

The equation of a line in slope - intercept form is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope m;

m = tan theta

m = tan 45

m = 1

Get the intercept c;

Substitute m = 1 and (-2, 5) into the equation y = mx+c and get c;

5 = 1(-2)+c

5 = -2+c

c = 5+2

c = 7

Get the required equation;

y = 1(x)+ 7

y = x + 7

Hence the equation of the line is y = x+7

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step-by-step explanation: