What is the y-intercept of a line that has a slope of 7 and passes through point (8, 3)?

answer:   (1) 53

(2) 1

step-by-step explanation:

using the formula = m ( x - )

where m is the slope.

m = 7

= 8

= 3

substituting the values , we have

y - 3 = 7 ( x - 8)

y - 3 = 7x - 56

writing the equation in slope - intercept form , we will make y the subject of the formula , we have

y = 7x - 56 + 3

y = 7x - 53

comparing the equation with the equation of line in slope - intercept form , which is ,

y = mx + c , where m is the slope and c is the y intercept

therefore , y - intercept = 53

(2) = m ( x - )

y - 3 = (x - 8)

y - 3 = -2

y = -2 + 3

y = + 1

therefore : y - intercept = 1

answer: b

step-by-step explanation: