Question

Find the slope-intercept equation for a line with a slope of 3 that passes through (1, 7).

Answer 1

A n s w e r

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`\large\boxed{\sf{y=3x+4}}`

We need to find the slope-intercept equation of a line whose slope is 3 and a point on the line is (1,7). So let's use our point-slope formula:

`\bullet\qquad\rm{y-y_1=m(x-x_1)}`

Substitute the values & simplify to slope-intercept:

`\large\begin{gathered}\sf{y-7=3(x-1)}\\\sf{y-7=3x-3}\\\sf{y=3x-3+7}\\\boxed{\sf{y=3x+4}}\end{gathered}`

Answer 2

y=3x+4

slope is the slope obviously and insert the point into the y=3x+b

itll be 7=3(1)+b

so itll be 4=b