Question

Slope-intercept from of an equation for the line passes through -1,2 and Parallel to y=2x-3

Answer 1

The equation of the line in slope - intercept form is $y=2 x+4$

Explanation:

The line passes through the points $(-1,2)$ and parallel to the line $y=2x-3$

Since, the line is parallel, the slope is $m=2$

The y - intercept can be determined by substituting the points $(-1,2)$ and $m=2$ in the slope - intercept formula, we get,

$y=mx+b$

$2=(2)(-1)+b$

$2=-2+b$

$4=b$

Thus, the y - intercept is $b=4$

The equation of the line in slope - intercept form can be determined using the formula $y=mx+b$

Thus, substituting $m=2$ and $b=4$ , we get,

$y=2 x+4$

Hence, the equation of the line in slope - intercept form is $y=2 x+4$